数学杂志2023，Vol.43Issue(4)：283-287,5.
一类由Hermitian Yang-Mills度量导出的半线性偏微分方程
A SEMILINEAR PARTIAL DIFFERENTIAL EQUATION INDUCED BY HERMITIAN YANG-MILLS METRICS
摘要
Abstract
In this paper,we investigate the boundary value problem and the radial symmetry of the global solution of a semilinear partial differential equation induced by studying the limiting behaviour of Hermitian Yang-Mills metrics.By applying maximum principle and Leray-Schauder fixed point theorem,we obtain the radial symmetry of the C2 global solution in R2 and the existence of C2,α solution of the Dirichlet problem in any bounded domain.关键词
Hermitian Yang-Mills度量/Ck-估计/边值问题Key words
Hermitian Yang-Mills metric/Ck-estimates/boundary value problems分类
数理科学引用本文复制引用
李宇萱,周武斌..一类由Hermitian Yang-Mills度量导出的半线性偏微分方程[J].数学杂志,2023,43(4):283-287,5.基金项目
Supported by the National Natural Science Foundation of China(11701426). （11701426）
