Title
Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz–Sobolev spaces
Abstract
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.
Year
DOI
Venue
2011
10.1016/j.amc.2011.01.050
Applied Mathematics and Computation
Keywords
Field
DocType
Non-homogeneous differential operator,Orlicz–Sobolev space,Critical point,Weak solution
Boundary value problem,Mathematical analysis,Calculus of variations,Sobolev space,Differential operator,Weak solution,Partial differential equation,Mathematics,Lemma (mathematics),Bounded function
Journal
Volume
Issue
ISSN
217
14
0096-3003
Citations 
PageRank 
References 
4
1.08
0
Authors
2
Name
Order
Citations
PageRank
Mihai Mihăilescu141.41
Dusan Repovš22111.09