Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces
Analysis of PDEs
2016-03-17 v1 Functional Analysis
Abstract
We study a non-homogeneous boundary value problem in a smooth bounded domain in . 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.
Cite
@article{arxiv.1603.05042,
title = {Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces},
author = {Mihai Mihăilescu and Dušan Repovš},
journal= {arXiv preprint arXiv:1603.05042},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:math/0607553