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.
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页码：203 / 223
页数：21
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