LOCAL BEHAVIOR, RADIAL SYMMETRY AND CLASSIFICATION OF SOLUTIONS TO WEIGHTED ELLIPTIC EQUATIONS

被引：0
作者：
LI, Kui [1 ]
Zhang, Zhitao [2 ,3 ,4 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
[2] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China
[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 02期
基金：
国家重点研发计划;
关键词：
Nonlinear elliptic equations; isolated singularity; asymptotic behavior; radial symmetry; classification; ASYMPTOTICS;
D O I：
10.3934/dcdss.2023007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study positive solutions with an isolated singularity to a class of weighted elliptic equations in B1\{0} and in RN\{0}. First, in B1\{0} we present new results on the asymptotic behavior at the singular point for positive solutions. Then in RN\{0}, we prove radially symmetric properties for positive singular solutions, and give a complete classification for these solutions.
引用
收藏
页码：512 / 529
页数：18
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