Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Szeged
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we deal with the following p(x)-Schrödinger problem: (Formula Presented) where the nonlinearity is sublinear. We present the existence of infinitely many solutions for the problem. The main tool used here is a variational method and Krasnoselskii’s genus theory combined with the theory of variable exponent Sobolev spaces. We also establish a Bartsch-Wang type compact embedding theorem for the variable exponent spaces. © 2017, University of Szeged. All rights reserved.
Açıklama
Anahtar Kelimeler
Krasnoselskii’s genus, P(x)-laplace operator, Schrödinger equation, Variable exponent lebesgue-sobolev spaces, Krasnoselskii’s genus, P(x)-laplace operator, Schrödinger equation, Variable exponent lebesgue-sobolev spaces
Kaynak
Electronic Journal of Qualitative Theory of Differential Equations
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
2017
