A boundary expansion of solutions to nonlinear singular elliptic equations

被引：0
|
作者：
Huaiyu Jian [1 ,2 ]
Jian Lu [3 ,2 ]
Xu-Jia Wang [2 ]
机构：
[1] Department of Mathematical Sciences, Tsinghua University
[2] Centre for Mathematics and Its Applications, The Australian National University
[3] South China Research Center for Applied Mathematics and Interdisciplinary Studies,South China Normal University
来源：
Science China Mathematics | 2022年 / 65卷 / 01期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
In this paper we establish an asymptotic expansion near the boundary for solutions to the Dirichlet problem of elliptic equations with singularities near the boundary. This expansion formula shows the singularity profile of solutions at the boundary. We deal with both linear and nonlinear elliptic equations, including fully nonlinear elliptic equations and equations of Monge-Ampère type.
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页码：9 / 30
页数：22
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