Mountain pass type periodic solutions for Euler-Lagrange equations in anisotropic Orlicz-Sobolev space
Analysis of PDEs
2018-04-02 v1 Classical Analysis and ODEs
Abstract
Using the Mountain Pass Theorem, we establish the existence of periodic solution for Euler-Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: satisfying in infinity and globally. We give conditions on the growth of the potential near zero for both situations.
Keywords
Cite
@article{arxiv.1803.11043,
title = {Mountain pass type periodic solutions for Euler-Lagrange equations in anisotropic Orlicz-Sobolev space},
author = {Magdalena Chmara and Jakub Maksymiuk},
journal= {arXiv preprint arXiv:1803.11043},
year = {2018}
}