Title | ||
---|---|---|
Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz–Sobolev spaces |
Abstract | ||
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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 Mihăilescu | 1 | 4 | 1.41 |
Dusan Repovš | 2 | 21 | 11.09 |