55 pubblicazioni classificate nel seguente modo:

Nonzero positive solutions of fractional Laplacian systems with functional terms
MATHEMATISCHE NACHRICHTEN
Autore/i: Biagi, S; Calamai, A; Infante, G
Classificazione: 1 Contributo su Rivista
Abstract: We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with nonlocal functional weights and functional boundary conditions. We present two examples to shed light on the type of functionals and growth conditions that can be considered with our approach.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/313787

An affine Birkhoff–Kellogg-type result in cones with applications to functional differential equations
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Autore/i: Calamai, A.; Infante, G.
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/306121

An infinite dimensional version of the intermediate value theorem
JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS
Autore/i: Benevieri, P; Calamai, A; Furi, M; Pera, Mp
Classificazione: 1 Contributo su Rivista
Abstract: Let f = I - k be a compact vector field of class C1 on a real Hilbert space H. In the spirit of Bolzano's Theorem on the existence of zeros in a bounded real interval, as well as the extensions due to Cauchy (in R2) and Kronecker (in Rk), we prove an existence result for the zeros of f in the open unit ball B of H. Similarly to the classical finite dimensional results, the existence of zeros is deduced exclusively from the restriction f|S of f to the boundary S of B. As an extension of this, but not as a consequence, we obtain as well an Intermediate Value Theorem whose statement needs the topological degree. Such a result implies the following easily comprehensible, nontrivial, generalization of the classical Intermediate Value Theorem: If a half-line with extreme q ?/ f(S) intersects transversally the function f|S for only one point of S, then any value of the connected component of H\f(S) containing q is assumed by f in B. In particular, such a component is bounded.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/324653

Periodic perturbations of reducible scalar second order functional differential equations
ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Autore/i: Calamai, A; Pera, Mp; Spadini, M
Classificazione: 1 Contributo su Rivista
Abstract: Using a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing. More precisely, we consider a delay-type functional dependence involving a gamma probability distribution and, using a linear chain trick, we formulate a first order system of ODEs whose T-periodic solutions correspond to those of the functional equation.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/324654

THE BROUWER DEGREE ASSOCIATED TO CLASSICAL EIGENVALUE PROBLEMS AND APPLICATIONS TO NONLINEAR SPECTRAL THEORY
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Autore/i: Benevieri, P; Calamai, A; Furi, M; Pera, Mp
Classificazione: 1 Contributo su Rivista
Abstract: Thanks to a connection between two completely different topics, the classical eigenvalue problem in a finite dimensional real vector space and the Brouwer degree for maps between oriented differentiable real manifolds, we are able to solve, at least in the finite dimensional context, a conjecture regarding global continuation in nonlinear spectral theory that we formulated in some recent papers. The infinite dimensional case seems nontrivial, and is still unsolved.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/306021

A Degree Associated to Linear Eigenvalue Problems in Hilbert Spaces and Applications to Nonlinear Spectral Theory
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Autore/i: Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, MARIA PATRIZIA
Classificazione: 1 Contributo su Rivista
Abstract: We extend to the infinite dimensional context the link between two completely different topics recently highlighted by the authors: the classical eigenvalue problem for real square matrices and the Brouwer degree for maps between oriented finite dimensional real manifolds. Thanks to this extension, we solve a conjecture regarding global continuation in nonlinear spectral theory that we have formulated in a recent article. Our result (the ex conjecture) is applied to prove a Rabinowitz type global continuation property of the solutions to a perturbed motion equation containing an air resistance frictional force.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/306020

Boundary value problems associated with singular strongly nonlinear equations with functional terms
ADVANCES IN NONLINEAR ANALYSIS
Autore/i: Biagi, Stefano; Calamai, Alessandro; Marcelli, Cristina; Papalini, Francesca
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/285330

Global persistence of the unit eigenvectors of perturbed eigenvalue problems in hilbert spaces: The odd multiplicity case
MATHEMATICS
Autore/i: Benevieri, P.; Calamai, A.; Furi, M.; Pera, M. P.
Classificazione: 1 Contributo su Rivista
Abstract: We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. The approach is topological, based on a notion of degree for oriented Fredholm maps of index zero between real differentiable Banach manifolds.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/290094

Global continuation in euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Autore/i: Benevieri, P.; Calamai, A.; Furi, M.; Pera, M. P.
Classificazione: 1 Contributo su Rivista
Abstract: In the Euclidean space Rk, we consider the perturbed eigenvalue problem Lx + εN(x) = λx, ||x|| = 1, where ε, λ are real parameters, L is a linear endomorphism of Rk, and N: Sk−1 → Rk is a continuous map defined on the unit sphere of Rk . We prove a global continuation result for the solutions (x, ε, λ) of this problem. Namely, under the assumption that x_* is one of the two unit eigenvectors of L corresponding to a simple eigenvalue λ_*, we show that, in the set of all the solutions, the connected component containing (x_*, 0, λ_*) is either unbounded or meets a solution (x*, 0, λ*) having x* ≠ x_*. Our result is inspired by a paper of R. Chiappinelli concerning the local persistence property of eigenvalues and eigenvectors of a perturbed self-adjoint operator in a real Hilbert space.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/276779

Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
ADVANCED NONLINEAR STUDIES
Autore/i: Biagi, S.; Calamai, A.; Infante, G.
Classificazione: 1 Contributo su Rivista
Abstract: We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities. We prove the existence of nonnegative solutions and provide a non-existence result. We present some examples to illustrate the applicability of the existence and non-existence results.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/284545

Existence results for boundary value problems associated with singular strongly nonlinear equations
JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS
Autore/i: Biagi, S.; Calamai, A.; Papalini, F.
Classificazione: 1 Contributo su Rivista
Abstract: We consider a strongly nonlinear differential equation of the following general type: (Φ(a(t,x(t))x′(t)))′=f(t,x(t),x′(t)),a.e. on[0,T],where f is a Carathédory function, Φ is a strictly increasing homeomorphism (the Φ -Laplacian operator), and the function a is continuous and non-negative. We assume that a(t, x) is bounded from below by a non-negative function h(t), independent of x and such that 1 / h∈ Lp(0 , T) for some p> 1 , and we require a weak growth condition of Wintner–Nagumo type. Under these assumptions, we prove existence results for the Dirichlet problem associated with the above equation, as well as for different boundary conditions. Our approach combines fixed point techniques and the upper/lower solution method.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/284544

Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Autore/i: Benevieri, P.; Calamai, A.; Furi, M.; Pera, M. P.
Classificazione: 1 Contributo su Rivista
Abstract: We consider the nonlinear eigenvalue problem where are real parameters, L,C : G H are bounded linear operators between separable real Hilbert spaces, and N : S H is a continuous map defined on the unit sphere of G. We prove a global persistence result regarding the set of the solutions (x,) SR R of this problem. Namely, if the operators N and C are compact, under suitable assumptions on a solution p= (x, 0, ) of the unperturbed problem, we prove that the connected component of containing pis either unbounded or meets a triple p= (x, 0,) with p6= p. When C is the identity and G = H is finite dimensional, the assumptions on (x, 0,) mean that xis an eigenvector of L whose corresponding eigenvalue,is simple. Therefore, we extend a previous result obtained by the authors in the finite dimensional setting. Our work is inspired by a paper of R. Chiappinelli concerning the local persistence property of the unit eigenvectors of perturbed self-adjoint operators in a real Hilbert space.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/290093

Sustainable Engineering for Resilient Built and Natural Environments
The First Outstanding 50 Years of “Università Politecnica delle Marche”
Autore/i: Alici, Antonello; Bocci, Maurizio; Bonvini, Paolo; Brocchini, Maurizio; Calamai, Alessandro; Canestrari, Francesco; Capozucca, Roberto; Carbonari, Alessandro; Carbonari, Sandro; Cardone, Fabrizio; Clementi, Francesco; Clini, Paolo; Cocchi, Giammichele; Corvaro, Sara; Darvini, Giovanna; Davì, Fabrizio; Dezi, Luigino; Di Giuseppe, Elisa; D’Orazio, Marco; Ferretti, Maddalena; Ferrotti, Gilda; Gara, Fabrizio; Giretti, Alberto; Graziani, Andrea; Lancioni, Giovanni; Lemma, Massimo; Lenci, Stefano; Lorenzoni, Carlo; Malinverni, Eva Savina; Mancinelli, Alessandro; Mariano, Fabio; Mentrasti, Lando; Mondaini, Gianluigi; Montecchiari, Piero; Munafò, Placido; Naticchia, Berardo; Postacchini, Matteo; Quagliarini, Enrico; Quattrini, Ramona; Ragni, Laura; Serpilli, Michele; Soldini, Luciano; Virgili, Amedeo; Zampini, Giovanni
Editore: Springer
Classificazione: 2 Contributo in Volume
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/272866

New Multimedia Technologies as Tools for a Modern Approach to Scientific Communication and Teaching of Mathematical Sciences
The First Outstanding 50 Years of “Università Politecnica delle Marche”
Autore/i: Alessio, F. G.; Brambilla, M. C.; Calamai, A.; de Fabritiis, C.; Demeio, L.; Franca, M.; Marcelli, C.; Marietti, M.; Montecchiari, P.; Papalini, F.; Petrini, M.; Telloni, A. I.
Editore: Springer
Classificazione: 2 Contributo in Volume
Abstract: This paper describes various technological tools and e-learning resources used by the authors in their work as university teachers and communicators of mathematics to a general public. As pointed out by recent developments in mathematics education research, a technology enhanced teaching may have significant potentialities at tertiary level: e-learning is an essential support to overcome some logistic obstacles such as the large number of students per teacher, the small number of hours of lesson available, the heterogeneity of the freshmen’s mathematical background. Moreover, a fine design of digital environments can foster an engaging, inclusive, flexible and meaningful learning of mathematical topics. In this paper we give a perspective on some educational experiments carried out with engineering students of Università Politecnica delle Marche through specific functionalities of the Moodle platform (quiz, forum, workshop) and the dynamic geometry software Geogebra. We also report shortly on our approach to the use of new technological devices in the dissemination of scientific knowledge to a broader audience.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/272790

Branches of Forced Oscillations Induced by a Delayed Periodic Force
ADVANCED NONLINEAR STUDIES
Autore/i: Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/259831

Heteroclinic solutions for a class of boundary value problems associated with singular equations
NONLINEAR ANALYSIS
Autore/i: Biagi, Stefano; Calamai, Alessandro; Papalini, Francesca
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/264799

Global continuation of the eigenvalues of a perturbed linear operator
ANNALI DI MATEMATICA PURA ED APPLICATA
Autore/i: Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/252490

Multiplicity of forced oscillations for scalar retarded functional differential equations
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Autore/i: Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/252491

Boundary value problems for singular second order equations
FIXED POINT THEORY AND APPLICATIONS
Autore/i: Calamai, Alessandro; Marcelli, Cristina; Papalini, Francesca
Classificazione: 1 Contributo su Rivista
Abstract: We investigate strongly nonlinear differential equations of the type (Phi(k(t)u′(t)))′=f(t,u(t),u′(t)),a.e.on[0,T],where Phi is a strictly increasing homeomorphism and the nonnegative functionkmay vanish on a set of measure zero. By using the upper and lower solutions method,we prove existence results for the Dirichlet problem associated with the above equation, as well as for different boundary conditions involving the function k. Our existence results require a weak form of a Wintner–Nagumo growth condition.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/259810

On general properties of n-th order retarded functional differential equations
RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE
Autore/i: Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/252517

On the persistence of the eigenvalues of a perturbed fredholm operator of index zero under nonsmooth perturbations
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Autore/i: Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/246998

On the position of chaotic trajectories
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Autore/i: Calamai, Alessandro; Diblík, J.; Franca, Matteo; Pospíšil, M.
Classificazione: 1 Contributo su Rivista
Abstract: The main purpose of this paper is to locate trajectories of a perturbed system, which is known to behave chaotically. The unperturbed system is assumed to have the origin as a hyperbolic fixed point, and to admit a trajectory homoclinic to the origin. This homocline is assumed to lie in a prescribed region having the origin in its border. Using a Mel'nikov type approach, we introduce natural conditions ensuring that all the chaotic trajectories of the perturbed system, given by classical results, lie in the same region. The applicability of our results is illustrated in two examples. In the first one, we find positive radial solutions for a class of P.D.E.'s, obtaining new results in the case of critical equations ruled by Laplacian with Hardy potentials. In the other one, we show that under certain conditions one of two weakly coupled pendula moves in one direction only.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/231642

Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force
NONLINEAR ANALYSIS
Autore/i: Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/244836

Multiplicity of periodic solutions for systems of weakly coupled parametrized second order differential equations
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Autore/i: Calamai, Alessandro; Sfecci, Andrea
Classificazione: 1 Contributo su Rivista
Abstract: We prove a multiplicity result of periodic solutions for a system of second order differential equations having asymmetric nonlinearities. The proof is based on a recent generalization of the Poincaré-Birkhoff fixed point theorem provided by Fonda and Urena.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/246994

Nontrivial solutions of boundary value problems for second-order functional differential equations
ANNALI DI MATEMATICA PURA ED APPLICATA
Autore/i: Calamai, Alessandro; Infante, G.
Classificazione: 1 Contributo su Rivista
Abstract: In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine cones. This approach is fairly general and covers a class of nonlocal boundary value problems for functional differential equations. Some examples are given in order to illustrate our theoretical results.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/223115

On the degree for oriented quasi-Fredholm maps: its uniqueness and its effective extension of the Leray–Schauder degree
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/202515

Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Autore/i: Calamai, Alessandro; M., Spadini
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/202514

Global continuation of forced oscillations of retarded motion equations on manifolds
JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Abstract: We investigate T-periodic parametrized retarded functional motion equations on (possibly) noncompact manifolds; that is, constrained second order retarded functional differential equations. For such equations we prove a global continuation result for T-periodic solutions. The approach is topological and is based on the degree theory for tangent vector fields as well as on the fixed point index theory. Our main theorem is a generalization to the case of retarded equations of an analogous result obtained by the last two authors for second order differential equations on manifolds. As corollaries we derive a Rabinowitz-type global bifurcation result and a Mawhin-type continua-tion principle. Finally, we deduce the existence of forced oscillations for the retarded spherical pendulum under general assumptions.
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/202516

Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints
BOUNDARY VALUE PROBLEMS
Autore/i: L., Bisconti; Calamai, Alessandro; M., Spadini
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/202513

A continuation result for forced oscillations of constrained motion problems with infinite delay
ADVANCED NONLINEAR STUDIES
Autore/i: P., Benevieri; Calamai, Alessandro; Furi, M.; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54504

Global continuation of periodic solutions for retarded functional differential equations on manifolds
BOUNDARY VALUE PROBLEMS
Autore/i: Benevieri, P; Calamai, Alessandro; Furi, M; Pera, M. P.
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/112677

Mel’nikov methods and homoclinic orbits in discontinuous systems
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Autore/i: Calamai, Alessandro; Franca, Matteo
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/112676

On general properties of retarded functional differential equations on manifolds
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/66064

On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds
RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/66065

Branches of forced oscillations for a class of constrained ODEs: a topological approach
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Autore/i: Calamai, Alessandro; M., Spadini
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/64419

Heteroclinic solutions of boundary value problems on the real line involving singular Phi-Laplacian operators
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Autore/i: Calamai, Alessandro
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54583

On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Autore/i: Benevieri, P; Calamai, Alessandro; Furi, M; Pera, M. P.
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54503

Branches of harmonic solutions for a class of periodic differential-algebraic equations
COMMUNICATIONS IN APPLIED ANALYSIS
Autore/i: Calamai, Alessandro
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54505

Yet another spectrum for nonlinear operators in Banach spaces
NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS
Autore/i: J., Appell; Calamai, Alessandro; A., Schmied
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54508

A Borsuk-type theorem for some classes of perturbed Fredholm maps
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
Autore/i: Calamai, Alessandro; P., Benevieri
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54507

A new spectrum for continuous nonlinear operators in Banach spaces
NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS
Autore/i: Calamai, Alessandro; M., Furi; A., Vignoli
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54502

On forced fast oscillations for delay differential equations on compact manifolds.
JOURNAL OF DIFFERENTIAL EQUATIONS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54512

Retarded functional differential equations on manifolds and applications to motion problems for forced constrained systems
ADVANCED NONLINEAR STUDIES
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54510

A general approach for front-propagation in functional reaction-diffusion equations
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Autore/i: Calamai, Alessandro; Marcelli, Cristina; Papalini, Francesca
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/52227

Delay differential equations on manifolds and applications to motion problems for forced constrained systems
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54511

An overview on spectral theory for nonlinear operators
COMMUNICATIONS IN APPLIED ANALYSIS
Autore/i: Calamai, Alessandro; M., Furi; A., Vignoli
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54514

Fast forced oscillations for constrained motion problems with delay
COMMUNICATIONS IN APPLIED ANALYSIS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54513

Bifurcation results for a class of perturbed Fredholm maps
FIXED POINT THEORY AND APPLICATIONS
Autore/i: P., Benevieri; Calamai, Alessandro
Classificazione: 1 Contributo su Rivista
Abstract: Art. ID 752657
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54509

Forced oscillations for delay motion equations on manifolds
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54501

Saddle type solutions to a class of semilinear elliptic equations
ADVANCES IN DIFFERENTIAL EQUATIONS
Autore/i: Alessio, FRANCESCA GEMMA; Calamai, Alessandro; Montecchiari, Piero
Classificazione: 1 Contributo su Rivista
Abstract: We consider a class of semilinear elliptic equations of the form $$ -\Delta u(x,y)+W'(u(x,y))=0,\quad (x,y)\in\R^{2} $$ where $W:\R\to\R$ is modeled on the classical two well Ginzburg-Landau potential $W(s)=(s^{2}-1)^{2}$. We show, via variational methods, that for any $j\geq 2$, the equation has a solution $v_{j}\in C^{2}(\R^{2})$ with $|v_{j}(x,y)|\leq 1$ for any $(x,y)\in\R^{2}$ satisfying the following symmetric and asymptotic conditions: setting $\tilde v_{j}(\rho,\theta)=v_{j}(\rho\cos( \theta),\rho\sin(\theta))$, there results $\tilde v_{j}(\rho,\frac{\pi}{2}+\theta)=-\tilde v_{j}(\rho,\frac{\pi}{2}-\theta)$, $\tilde v_{j}(\rho,\theta+\frac{\pi}{j})=-\tilde v_{j}(\rho,\theta)$, $\forall (\rho,\theta)\in \R^{+}\times\R$ and $\tilde v_{j}(\rho,\theta)\to 1$ as $\rho\to+\infty$ for any $\theta\in [\frac{\pi}2-\frac{\pi}{2j},\frac{\pi}2)$.}
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/34140

Global branches of periodic solutions for forced delay differential equations on compact manifolds
JOURNAL OF DIFFERENTIAL EQUATIONS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi; M. P., Pera
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54499

A degree theory for a class of perturbed Fredholm maps II
FIXED POINT THEORY AND APPLICATIONS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi
Classificazione: 1 Contributo su Rivista
Abstract: Art. ID 27154
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54498

A degree theory for a class of perturbed Fredholm maps
FIXED POINT THEORY AND APPLICATIONS
Autore/i: P., Benevieri; Calamai, Alessandro; M., Furi
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54497

The invariance of domain theorem for compact perturbations of nonlinear Fredholm maps of index zero.
NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS
Autore/i: Calamai, Alessandro
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54496

On existence and uniqueness of solutions for ordinary differential equations with nonlinear boundary conditions
BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B
Autore/i: Calamai, Alessandro
Classificazione: 1 Contributo su Rivista
Scheda della pubblicazione: https://iris.univpm.it/handle/11566/54495