Infinitely many solutions for a class of stationary Schrodinger equations with non-standard growth

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Küçük Resim

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we study the existence of infinitely many solutions for a class of stationary Schrodinger type equations in R-N involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces.

Açıklama

Anahtar Kelimeler

Variable exponent Lebesgue-Sobolev spaces, p(x)-Laplace operator, Schrodinger type equation, variant Fountain theorem, P(X)-Laplacian Equations, Variable Exponent, Existence, Spaces, Multiplicity, Theorems, Lebesgue

Kaynak

Complex Variables and Elliptic Equations

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

63

Sayı

4

Künye