INFINITELY MANY SOLUTIONS FOR SEMILINEAR Δλ-LAPLACE EQUATIONS WITH SIGN-CHANGING POTENTIAL AND NONLINEARITY

被引：12

作者：

Chen, Jianhua ^{[1
]}

Tang, Xianhua ^{[1
]}

Gao, Zu ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2017年 / 54卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Delta(lambda)-Laplace operator; super-quadratic growth; infinitely many solutions; variational method; 4TH-ORDER ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; SCHRODINGER-EQUATIONS; EXISTENCE;

D O I：

10.1556/012.2017.54.4.1382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of infinitely many solutions for the following class of boundary value elliptic problems {-Delta(lambda)u + V(x)u = f(x, u), x is an element of Omega, u = 0, x is an element of partial derivative Omega, where Omega is a bounded domain in R-N (N >= 2), Delta(lambda) is a strongly degenerate elliptic operator, V(x) is allowing to be sign-changing and f is a function with a more general super-quadratic growth, which is weaker than the Ambrosetti-Rabinowitz type condition.

引用

页码：536 / 549

页数：14

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