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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Hlavní autor:	Mustafa Avci
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Texas State University 2013-01-01
Edice:	Electronic Journal of Differential Equations
Témata:	p(x)-Laplace operator variable exponent Lebesgue-Sobolev spaces variational approach Fountain theorem
On-line přístup:	http://ejde.math.txstate.edu/Volumes/2013/14/abstr.html
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