EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET PROBLEMS INVOLVING THE P(X)-LAPLACE OPERATOR

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Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Texas State Univ

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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 solutions.

Açıklama

Anahtar Kelimeler

P(X)-Laplace Operator, Variable Exponent Lebesgue-Sobolev Spaces, Variational Approach, Fountain Theorem

Kaynak

Electronic Journal of Differential Equations

WoS Q Değeri

Q3

Scopus Q Değeri

Cilt

Sayı

Künye