Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth
Küçük Resim Yok
Tarih
2018
Yazarlar
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
