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.
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页数：21
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