paper

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

arXiv:1603.05042 · doi:10.1016/j.amc.2011.01.050

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.

arXiv admin note: text overlap with arXiv:math/0607553

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