Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces

Autor:	Mihăilescu, Mihai, Repovš, Dušan
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs Mathematics - Functional Analysis 35D30 35J60 35J70 46N20 58E05
Zdroj:	Appl. Math. Comp. 217:14 (2011), 6624-6632
Druh dokumentu:	Working Paper
DOI:	10.1016/j.amc.2011.01.050
Popis:	We study a non-homogeneous boundary value problem in a smooth bounded domain in $\mathbb{R}^N$. We prove the existence of at least two nonnegative and non-trivial weak solutions. Our approach relies on Orlicz-Sobolev spaces theory combined with adequate variational methods and a variant of Mountain Pass Lemma. Comment: arXiv admin note: text overlap with arXiv:math/0607553
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.05042 Zobrazit plný text záznamu View this record from Arxiv