On the existence and regularity of ground states for a nonlinear system of coupled Schrodinger equations in RN

被引：0

作者：

Cipolatti, R

Zumpichiatti, W

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, Rio De Janeiro, Brazil

[2] Univ Fed Rio de Janeiro, Inst Matemat, Dept Metodos Matemat, Rio De Janeiro, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 1999年 / 18卷 / 01期

关键词：

Schrodinger equations; ground states;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the regularity (Theorem 2.1) and the existence (Theorem 3.2) of standing waves for a class of nonlinear systems of Schrodinger equations in R-N arising in several branches of sciences, such as nonlinear optics and biology. By using P. L. Lions' Concentration Compactness Principle, we prove for N greater than or equal to 3 the existence of ground states, that means standing waves of minimal Lagrangian.

引用

页码：15 / 29

页数：15

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