Regularity of degenerate Hessian equations

被引：7

作者：

Dinew, Slawomir ^{[1
]}

Plis, Szymon ^{[2
]}

Zhang, Xiangwen ^{[3
]}

机构：

[1] Jagiellonian Univ, Inst Math, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[2] Cracow Univ Technol, Inst Math, Warszawska 24, PL-31155 Krakow, Poland

[3] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 04期

关键词：

DIRICHLET PROBLEM;

D O I：

10.1007/s00526-019-1574-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show a second order a priori estimate for solutions to the complex k-Hessian equation on a compact Kahler manifold provided the (k - 1)st root of the right hand side is C-1,C-1. This improves an estimate of Hou-Ma-Wu (Math Res Lett 17:547-561, 2010). An example is provided to show that the exponent is sharp.

引用

页数：21

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