EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET PROBLEMS INVOLVING THE P(X)-LAPLACE OPERATOR
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Tarih
2013
Yazarlar
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
