A PRIORI ESTIMATES FOR THE OBSTACLE PROBLEM OF HESSIAN TYPE EQUATIONS ON RIEMANNIAN MANIFOLDS

作者：Dong, Weisong^*; Wang, Tingting; Bao, Gejun

来源：Communications on Pure and Applied Analysis, 2016, 15(5): 1769-1780.

DOI：10.3934/cpaa.2016013

• Obstacle problem
• A priori estimates
• Hessian
• fully nonlinear elliptic equations
• Riemannian manifolds

We are concerned with a priori estimates for the obstacle problem of a wide class of fully nonlinear equations on Riemannian manifolds. We use new techniques introduced by Bo Guan and derive new results for a priori second order estimates of its singular perturbation problem under fairly general conditions. By approximation, the existence of a C-1,C-1 viscosity solution is proved.

• 出版日期2016-9
• 单位哈尔滨工业大学; 中国酒泉卫星发射中心