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...

ver descrição completa

Detalhes bibliográficos

Autor principal:	Mustafa Avci
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Texas State University 2013-01-01
coleção:	Electronic Journal of Differential Equations
Assuntos:	p(x)-Laplace operator variable exponent Lebesgue-Sobolev spaces variational approach Fountain theorem
Acesso em linha:	http://ejde.math.txstate.edu/Volumes/2013/14/abstr.html
Tags:	Adicionar Tag Sem tags, seja o primeiro a adicionar uma tag!