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
收藏
页码：536 / 549
页数：14
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