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

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摘要

We study a non-homogeneous boundary value problem in a smooth bounded domain in RN. We prove the existence of at least two non-negative 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.

论文关键词：Non-homogeneous differential operator,Orlicz–Sobolev space,Critical point,Weak solution

论文评审过程：Available online 20 January 2011.

论文官网地址：https://doi.org/10.1016/j.amc.2011.01.050