The obstacle problem for conformal metrics on compact Riemannian manifolds

被引：0

作者：

Bao, Sijia ^{[1
]}

Xing, Yuming ^{[1
]}

机构：

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Obstacle problem; A priori estimates; Hessian equations; Viscosity solutions; Riemannian manifolds; HESSIAN EQUATIONS; DIRICHLET PROBLEM; ELLIPTIC-EQUATIONS; REGULARITY;

D O I：

10.1186/s13660-018-1827-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds (M-n, g) arising from conformal deformation. With the a priori estimates the existence of a C-1,C-1 solution to the obstacle problem with Dirichlet boundary value is obtained by approximation.

引用

页数：12

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