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

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor and 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 Schrödinger type equations in ?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. © 2017 Informa UK Limited, trading as Taylor & Francis Group.

Açıklama

Anahtar Kelimeler

p(x)-Laplace operator, Schrödinger type equation, Variable exponent Lebesgue–Sobolev spaces, variant Fountain theorem, p(x)-Laplace operator, Schrödinger type equation, Variable exponent Lebesgue–Sobolev spaces, variant Fountain theorem

Kaynak

Complex Variables and Elliptic Equations

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

63

Sayı

4

Künye