Infinite transition solutions for an Allen-Cahn equation

被引：0
|
作者：
Li, Wen-Long [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2024年 / 245卷
关键词：
Moser-Bangert theory; Constrained minimization method; Infinite transition solutions; CRITICAL-POINTS; LAMINATIONS; EXTENSIONS; MODELS;
D O I：
10.1016/j.na.2024.113572
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give another proof of a theorem of Rabinowitz and Stredulinsky obtaining infinite transition solutions for an Allen-Cahn equation. Rabinowitz and Stredulinsky have constructed infinite transition solutions as locally minimal solutions, but it is still an interesting question to establish these solutions by other method. Our result may attract the interest of constructing solutions with the shape of locally minimal solutions of Rabinowitz and Stredulinsky for problems defined on descrete group.
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页数：12
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