Mountain pass type periodic solutions for Euler-Lagrange equations in anisotropic Orlicz-Sobolev space

Autor:	Chmara, Magdalena, Maksymiuk, Jakub
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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 $K-W$ and a forcing term. We consider two situations: $G$ satisfying $\Delta_2\cap\nabla_2$ in infinity and globally. We give conditions on the growth of the potential near zero for both situations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1803.11043 Zobrazit plný text záznamu View this record from Arxiv