The Schrodinger-Poisson equation under the effect of a nonlinear local term

被引：744
作者：
Ruiz, D [1 ]
机构：
[1] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 237卷 / 02期
关键词：
Schrodinger-Poisson equation; variational methods; Pohozaev equality; Lagrange multiplier rule;
D O I：
10.1016/j.jfa.2006.04.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the problem [GRAPHICS] where u, phi : R-3 --> R are positive radial functions, lambda > 0 and 1 < p < 5. We give existence and nonexistence results, depending on the parameters p and lambda. It turns out that p = 2 is a critical value for the existence of solutions. (C) 2006 Elsevier Inc. All rights reserved.
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收藏
页码：655 / 674
页数：20
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