A boundary expansion of solutions to nonlinear singular elliptic equations

作     者：Huaiyu Jian Jian Lu Xu-Jia Wang Huaiyu Jian;Jian Lu;Xu-Jia Wang

作者机构：Department of Mathematical SciencesTsinghua UniversityBeijing 100084China Centre for Mathematics and Its ApplicationsThe Australian National UniversityCanberraACT 0200Australia South China Research Center for Applied Mathematics and Interdisciplinary StudiesSouth China Normal UniversityGuangzhou 510631China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第1期

页      面：9-30页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Australian Research Council(Grant No.FL130100118) National Natural Science Foundation of China(Grant Nos.11771237 and 11871432) 

主　　题：boundary asymptotic expansion singular nonlinear elliptic equations Dirichlet problem 

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 *** expansion formula shows the singularity profile of solutions at the *** deal with both linear and nonlinear elliptic equations,including fully nonlinear elliptic equations and equations of Monge-Ampère type.