Existence and multiplicity results for nonlinear elliptic problems in RN with an indefinite functional

被引：0

作者：

Costa, David G. ^{[1
]}

Guo, Yuxia ^{[2
]}

Ramos, Miguel ^{[3
]}

机构：

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

[2] Chinese Acad Sci, Beijing 100080, Peoples R China

[3] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年

关键词：

Superlinear elliptic problems; Morse index; minimax methods;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a nontrivial solution for the nonlinear elliptic problem -Delta u = lambda h(x)u + a(x)g(u) in R-N, where g is superlinear near zero and near infinity, a(x) changes sign, lambda is positive, and h(x) >= 0 is a weight function. For g odd, we prove the existence of an infinite number of solutions.

引用

页数：15

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