Existence of Solutions p(x) for Laplacian Equations Without Ambrosetti-Rabinowitz Type Condition
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Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper investigates the existence and multiplicity of solutions for superlinear p(x) -Laplacian equations with Dirichlet boundary conditions. Under no Ambrosetti-Rabinowitz's superquadraticity conditions, we obtain the existence and multiplicity of solutions using a variant Fountain theorem without Palais-Smale type assumptions.
Açıklama
Anahtar Kelimeler
P(X)-Laplace Operator, Variable Exponent Lebesgue-Sobolev Spaces, Variational Approach, Variant Fountain Theorem
Kaynak
Bulletin of The Malaysian Mathematical Sciences Society
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
38
Sayı
3
