On De Giorgi's conjecture: Recent progress and open problems

被引：0
|
作者：
Hardy Chan [1 ]
Juncheng Wei [1 ]
机构：
[1] Department of Mathematics, University of British Columbia
来源：
Science China Mathematics | 2018年 / 61卷 / 11期
基金：
加拿大自然科学与工程研究理事会;
关键词：
De Giorgi’s conjecture; classification of solutions; Allen-Cahn equation; minimal surfaces; Toda systems;
D O I：
暂无
中图分类号：
O175.1 [常微分方程];
学科分类号：
070104 ;
摘要：
In 1979,De Giorgi conjectured that the only bounded monotone solutions to the Allen-Cahn equation △u+u-u~3=0 in R~N,are one-dimensional.This conjecture and its connection with minimal surfaces and Toda systems are the subject of this survey article.
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页码：1925 / 1946
页数：22
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