Non-zero solutions for a Schrodinger equation with indefinite linear and nonlinear terms

被引：11

作者：

Costa, DG ^{[1
]}

Tehrani, H

机构：

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

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

[3] Univ Lisbon, Fac Sci, P-1649003 Lisbon, Portugal

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2004年 / 134卷

关键词：

D O I：

10.1017/S0308210500003206

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a non-trivial solution for the nonlinear elliptic problem -Deltau + V(x)u = a(x)g(u) in R-N, where g is superlinear near zero and near infinity, a(x) changes sign and V is an element of C(R-N) is positive at infinity. For g odd, we prove the existence of an infinite number of solutions.

引用

页码：249 / 258

页数：10

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