Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting
Classical Analysis and ODEs
2017-10-10 v2
Abstract
In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations, which include, among others, equations involving the -Laplace and, more generality, the -Laplace operator. We employ the direct method of the calculus of variations in the framework of anisotropic Orlicz-Sobolev spaces. These spaces appear to be useful in formulating a unified theory of existence for the type of problem considered.
Keywords
Cite
@article{arxiv.1708.06657,
title = {Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting},
author = {Fernando D. Mazzone and Sonia Acinas},
journal= {arXiv preprint arXiv:1708.06657},
year = {2017}
}