Existence and multiplicity of solutions for Dirichlet problems involving the p(x)-Laplace operator

In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition. Using a variant Fountain theorem, but not including Palais-Smale type assumptions, we prove the existence and multiplicity of the so...

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Detalles Bibliográficos

Autor principal:	Mustafa Avci
Formato:	Artigo
Lenguaje:	Inglês
Publicado:	Texas State University 2013-01-01
Colección:	Electronic Journal of Differential Equations
Materias:	p(x)-Laplace operator variable exponent Lebesgue-Sobolev spaces variational approach Fountain theorem
Acceso en línea:	http://ejde.math.txstate.edu/Volumes/2013/14/abstr.html
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