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.
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页数：15
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