C1,1 REGULARITY FOR AN OBSTACLE PROBLEM OF HESSIAN EQUATIONS ON RIEMANNIAN MANIFOLDS

被引：3

作者：

Jiao, Heming ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 08期

关键词：

Obstacle problem; Riemannian manifolds; fully nonlinear equations; C-1; regularity; NONLINEAR ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; CURVATURE;

D O I：

10.1090/proc/12988

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study an obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. Using some new ideas, the C-1,C-1 regularity for the greatest viscosity solution is established under essentially optimal structure conditions.

引用

页码：3441 / 3453

页数：13

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