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

页码：67 / 86

页数：20

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