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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 12期

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

页码：5311 / 5320

页数：10

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