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

被引：1

作者：

Ayazoglu , R. ^{[1
]}

Alisoy, Gulizar ^{[2
]}

机构：

[1] Bayburt Univ, Fac Educ, Bayburt, Turkey

[2] Namik Kemal Univ, Fac Sci & Arts, Tekirdag, Turkey

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 04期

关键词：

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;

D O I：

10.1080/17476933.2017.1322074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：482 / 500

页数：19

共 40 条

[1]

Ablowitz M. J., 2004, Discrete and continuous nonlinear Schrdinger systems

[2] Regularity results for stationary electro-rheological fluids [J].