A note on existence of antisymmetric solutions for a class of nonlinear Schrodinger equations

被引：7
|
作者：
Carvalho, Janete S. [1 ]
Maia, Liliane A. [1 ]
Miyagaki, Olimpio H. [2 ]
机构：
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
[2] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2011年 / 62卷 / 01期
关键词：
Nonlinear Schrodinger equation; Concentration-Compactness principle; CONCENTRATION-COMPACTNESS PRINCIPLE; NODAL SOLUTIONS; ELLIPTIC EQUATION; CALCULUS; NUMBER;
D O I：
10.1007/s00033-010-0070-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the nonlinear Schrodinger equation -Delta U vertical bar V(x)u = f(u) in R(N). We assume that V is invariant under an orthogonal involution and show the existence of a particular type of sign changing solution. The basic tool employed here is the Concentration-Compactness Principle.
引用
收藏
页码：67 / 86
页数：20
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