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| A boundary expansion of solutions to nonlinear singular elliptic equations | |
| 作者姓名： | Huaiyu Jian Jian Lu Xu-Jia Wang |
| 作者单位： | Department of Mathematical Sciences;Centre for Mathematics and Its Applications;South China Research Center for Applied Mathematics and Interdisciplinary Studies |
| 基金项目： | supported by Australian Research Council(Grant No.FL130100118);National Natural Science Foundation of China(Grant Nos.11771237 and 11871432)。 |
| 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. |
| 关 键 词： | boundary asymptotic expansion singular nonlinear elliptic equations Dirichlet problem |
A boundary expansion of solutions to nonlinear singular elliptic equations |
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| Huaiyu Jian,Jian Lu,Xu-Jia Wang.A boundary expansion of solutions to nonlinear singular elliptic equations[J].中国科学 数学(英文版),2022,65(1):9-30. | |
| Authors: | Jian Huaiyu Lu Jian Wang Xu-Jia |
| Institution: | 1.Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China ;2.Centre for Mathematics and Its Applications, The Australian National University, Canberra, ACT, 0200, Australia ;3.South China Research Center for Applied Mathematics and Interdisciplinary Studies, South China Normal University, Guangzhou, 510631, China ; |
| Abstract: | Science China Mathematics - 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.... |
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