The local behavior of positive solutions for higher order equation with isolated singularities

被引：0

作者：

Li, Yimei ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing 100044, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 06期

基金：

中国博士后科学基金;

关键词：

SEMILINEAR ELLIPTIC-EQUATIONS; LIOUVILLE-TYPE THEOREMS; ASYMPTOTIC SYMMETRY;

D O I：

10.1007/s00526-021-02087-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use blow up analysis for local integral equations to provide a blow up rates of solutions of higher order Hardy-Henon equation in a bounded domain with an isolated singularity, and show the asymptotic radial symmetry of the solutions near the singularity. This work generalizes the correspondence results of Jin-Xiong (in, Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities. arXiv:1901.01678) on higher order conformally invariant equations with an isolated singularity.

引用

页数：19

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