Existence of Solutions for p(x) Laplacian Equations Without Ambrosetti–Rabinowitz Type Condition

Existence of Solutions for p(x) Laplacian Equations Without Ambrosetti–Rabinowitz Type Condition

This paper investigates the existence and multiplicity of solutions for superlinear p ( x ) -Laplacian equations with Dirichlet boundary conditions. Under no Ambrosetti–Rabinowitz’s superquadraticity conditions, we obtain the existence and multiplicity of solutions using a variant Fountain theorem w...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2015-07, Vol.38 (3), p.1023-1033
1. Verfasser: Yucedag, Zehra
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Boundary conditions
Laplace equation
Mathematics
Mathematics and Statistics
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Zusammenfassung:This paper investigates the existence and multiplicity of solutions for superlinear p ( x ) -Laplacian equations with Dirichlet boundary conditions. Under no Ambrosetti–Rabinowitz’s superquadraticity conditions, we obtain the existence and multiplicity of solutions using a variant Fountain theorem without Palais-Smale type assumptions.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-014-0057-1