Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders

被引：0

作者：

Chen, Shan ^{[1
]}

Liu, Zixiao ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Beijing Univ Technol, Inst Appl Math, Sch Math Stat & Mech, Dept Math, Beijing 100124, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 401卷

关键词：

Asymptotic behavior; Isolated singularity; LIOUVILLE-TYPE THEOREMS; LOCAL BEHAVIOR; ISOLATED SINGULARITIES; SYMMETRY;

D O I：

10.1016/j.jde.2024.05.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of asymptotic behavior of solutions near an isolated singularity of some semilinear elliptic equations, such as the Yamabe equation, Hardy-H & eacute;non equations, etc. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：334 / 375

页数：42

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