Standing waves for a system of nonlinear Schrodinger equations in RN

被引：1

作者：

do O, Joao Marcos ^{[1
]}

Miyagaki, Olimpio H. ^{[2
]}

Santana, Claudia ^{[3
]}

机构：

[1] Univ Fed Paraiba, Dept Math, BR-58059900 Joao Pessoa, Paraiba, Brazil

[2] Univ Fed Juiz de Fora, Dept Math, BR-36036330 Juisz De Fora, MG, Brazil

[3] Univ Estadual Santa Cruz, Dept Exact Sci & Technol, BR-45662900 Ilheus, BA, Brazil

来源：

ASYMPTOTIC ANALYSIS | 2016年 / 96卷 / 3-4期

关键词：

elliptic systems; variational methods; vanishing potential; nonlinear Schrodinger equations; bounded states; LOCAL MOUNTAIN-PASS; ELLIPTIC-EQUATIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.3233/ASY-151347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of bound state solutions for stationary Schrodinger systems of the form {-Delta u + V (x) u = K(x) F-u(u, v) in R-N, -Delta u + V (x) v = K(x) F-v(u, v) in R-N, where N >= 3, V and K are bounded continuous nonnegative functions, and F(u, v) is a C-1 and p-homogeneous function with 2 < p < 2N/(N - 2). We give a special attention to the case when V may eventually vanishes. Our arguments are based on penalization techniques, variational methods and Moser iteration scheme.

引用

页码：351 / 372

页数：22

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