RECENT PROGRESS ON STABLE AND FINITE MORSE INDEX SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS

被引：0
作者：
Wang, Kelei [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2021年 / 29卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Stable solutions; finite Morse index solutions; Liouville theorem; De Giorgi conjecture; ALLEN-CAHN EQUATION; LIOUVILLE-TYPE THEOREMS; LANE-EMDEN EQUATION; R-N; PARTIAL REGULARITY; MINIMAL-SURFACES; MONOTONICITY FORMULA; POSITIVE SOLUTIONS; SINGULAR SOLUTIONS; DIRICHLET PROBLEMS;
D O I：
10.3934/era.2021062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss some recent results (mostly from the last decade) on stable and finite Morse index solutions of semilinear elliptic equations, where Norman Dancer has made many important contributions. Some open questions in this direction are also discussed.
引用
收藏
页码：3805 / 3816
页数：12
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