On the existence of multi-transition solutions for a class of elliptic systems

被引：15
作者：
Montecchiari, Piero [1 ]
Rabinowitz, Paul H. [2 ]
机构：
[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, I-60131 Ancona, Italy
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2016年 / 33卷 / 01期
关键词：
Second order semilinear elliptic systems; Heteroclinic solutions; Multitransition solutions; Minimization; Renormalized functional; STATIONARY LAYERED SOLUTIONS; R-2; ORBITS; MULTIPLICITY; EQUATIONS;
D O I：
10.1016/j.anihpc.2014.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of solutions undergoing multiple spatial transitions between isolated periodic solutions is studied for a class of systems of semilinear elliptic partial differential equations. A key tool is a new result on the possible behavior of the set of single transition solutions. (C) 2014 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：199 / 219
页数：21
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