Multiple bound states for the Schrodinger-Poisson problem

被引：383
|
作者：
Ambrosetti, Antonio [1 ]
Ruiz, David [1 ]
机构：
[1] SISSA, I-34014 Trieste, Italy
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2008年 / 10卷 / 03期
关键词：
Schrodinger-Poisson equation; variational methods; Pohozaev equality; multiplicity;
D O I：
10.1142/S021919970800282X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the problem { -Delta u + u + V(x)u = u(p), -Delta u = lambda u(2,) lim(vertical bar x vertical bar ->+infinity) V(x) =0, where u, V : R-3 -> R are radial functions, lambda > 0 and 1 < p < 5. We give multiplicity results, depending on p and on the parameter lambda.
引用
收藏
页码：391 / 404
页数：14
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