MULTIPLE SOLITARY WAVE SOLUTIONS OF NONLINEAR SCHRODINGER SYSTEMS

被引：0

作者：

Tian, Rushun ^{[1
]}

Wang, Zhi-Qiang ^{[1
]}

机构：

[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2011年 / 37卷 / 02期

关键词：

Nonlinear Schrodinger system; Nehari manifold; a Z(N)-index theory; BOUND-STATES; GROUND-STATES; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the N-coupled nonlinear elliptic system (P) {-Delta U-j + U-j = mu U-j(3) + beta U-j Sigma(k not equal j) U-k(2) in Omega, U-j > 0 in Omega, U-j = 0 on partial derivative Omega, j = 1, ... , N. where Omega is a smooth and bounded (or unbounded if Omega is radially symmetric) domain in R-n, n <= 3. By using a Z(N) index theory, we prove the existence of multiple solutions of (P) and show the dependence of multiplicity results on the coupling constant beta.

引用

页码：203 / 223

页数：21

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