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arXiv:1603.05042 [math.AP]AbstractReferencesReviewsResources

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

Mihai Mihăilescu, Dušan Repovš

Published 2016-03-16Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:math/0607553
Journal: Appl. Math. Comp. 217:14 (2011), 6624-6632
Categories: math.AP, math.FA
Subjects: 35D30, 35J60, 35J70, 46N20, 58E05
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