Local behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities

被引：0
作者：
Wu, Ke [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 214卷
关键词：
Rigidity results; Asymptotic behavior; Removable singularity; ELLIPTIC-EQUATIONS; CLASSIFICATION; SYMMETRY;
D O I：
10.1016/j.na.2021.112594
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the asymptotic behavior of positive solutions of the biharmonic equation Delta(2)u = u(p) in B-2\{0) with an isolated singularity, where the punctured ball B-2\{0} subset of R-n with n > 5 and p > (n + 4)/(n - 4). We classify isolated singularities of positive solutions and describe the asymptotic behavior of positive singular solutions without the sign assumption for -Delta u. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：15
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