EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 133

$𝒟$ -modules, contact valued calculus and Poincaré-Cartan form

Ricardo J. Alonso Blanco (1999)

Czechoslovak Mathematical Journal

A "Birkhoff-Lewis" type result for a class of Hamiltonian systems.

Vieri Benci, Donato Fortunato (1987)

Manuscripta mathematica

A generalization of Ekeland's variational principle with applications.

El Amrouss, Abdel R., Tsouli, Najib (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies

Yu Shen, Conghua Yan (2024)

Kybernetika

In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally, the properties...

A new infinite order formulation of variational sequences

Raffaele Vitolo (1998)

Archivum Mathematicum

The theory of variational bicomplexes is a natural geometrical setting for the calculus of variations on a fibred manifold. It is a well–established theory although not spread out very much among theoretical and mathematical physicists. Here, we present a new approach to infinite order variational bicomplexes based upon the finite order approach due to Krupka. In this approach the information related to the order of jets is lost, but we have a considerable simplification both in the exposition...

A new Lagrangian dynamic reduction in field theory

François Gay-Balmaz, Tudor S. Ratiu (2010)

Annales de l’institut Fourier

For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a principal bundle. It is shown that covariant and dynamic reduction lead to equivalent equations of motion. This is achieved by constructing a new Lagrangian defined on an infinite dimensional space which turns out to be gauge group invariant.

A nonlinear periodic system with nonsmooth potential of indefinite sign

Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)

Archivum Mathematicum

In this paper we consider a nonlinear periodic system driven by the vector ordinary $p$ -Laplacian and having a nonsmooth locally Lipschitz potential, which is positively homogeneous. Using a variational approach which exploits the homogeneity of the potential, we establish the existence of a nonconstant solution.

A Note on Coercivity of Lower Semicontinuous Functions and Nonsmooth Critical Point Theory

Corvellec, J. (1996)

Serdica Mathematical Journal

The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1] for a lower...

A numerically based investigation on the symmetry breaking and asymptotic behavior of the ground states to the $p$ -Hénon equation.

Yao, Xudong, Zhou, Jianxin (2011)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A problem of minimization with relaxed energy

Rejeb Hadiji, Feng Zhou (1995)

Annales de la Faculté des sciences de Toulouse : Mathématiques

A variational analysis of a gauged nonlinear Schrödinger equation

Alessio Pomponio, David Ruiz (2015)

Journal of the European Mathematical Society

This paper is motivated by a gauged Schrödinger equation in dimension 2 including the so-called Chern-Simons term. The study of radial stationary states leads to the nonlocal problem: $- Δ u (x) + (ω + \frac{h^{2} (| x |)}{{| x |}^{2}} + \int_{| x |}^{+ \infty} \frac{h (s)}{s} u^{2} (s) d s) u (x) = {| u (x) |}^{p - 1} u (x)$ , where $h (r) = \frac{1}{2} \int_{0}^{r} s u^{2} (s) d s$ . This problem is the Euler-Lagrange equation of a certain energy functional. In this paper the study of the global behavior of such functional is completed. We show that for $p \in (1, 3)$ , the functional may be bounded from below or not, depending on $ω$ . Quite surprisingly, the threshold value for $ω$ is explicit. From...

A Variational Approach to Bifurcation in Lp on an Unbounded Symmetrical Domain.

C.A. Stuart (1983)

Mathematische Annalen

A variational approach to homoclinic orbits in Hamiltonian systems.

Vittorio Coti Zelati, Ivar Ekeland, Eric Séré (1990)

Mathematische Annalen

A version of Zhong's coercivity result for a general class of nonsmooth functionals.

Motreanu, D., Motreanu, V.V., Paşca, D. (2002)

Abstract and Applied Analysis

Abnormal sub-riemannian geodesics : Morse index and rigidity

A. A. Agrachev, A. V. Sarychev (1996)

Annales de l'I.H.P. Analyse non linéaire

About boundary terms in higher order theories

Lorenzo Fatibene, Mauro Francaviglia, S. Mercadante (2011)

Communications in Mathematics

It is shown that when in a higher order variational principle one fixes fields at the boundary leaving the field derivatives unconstrained, then the variational principle (in particular the solution space) is not invariant with respect to the addition of boundary terms to the action, as it happens instead when the correct procedure is applied. Examples are considered to show how leaving derivatives of fields unconstrained affects the physical interpretation of the model. This is justified in particular...

Currently displaying 1 – 20 of 133