ON THE REGULARITY OF THE COMPLEX HESSIAN EQUATION

被引:0
|
作者
Ahag, Per [1 ]
Czyz, Rafal [2 ]
机构
[1] Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden
[2] Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland
关键词
Compact Kahler manifold; complex Hessian equation; m-subharmonic function (; m)-subharmonic function; pluripotential theory; stability; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; STABILITY;
D O I
10.1090/proc/16042
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the m-Hessian measure that belongs to Lq , for q <= n/m.
引用
收藏
页码:5311 / 5320
页数:10
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