On a class of obstacle problem for Hessian equations on Riemannian manifolds

Abstract

Abstract In this paper, we establish the a priori C 2 $C^{2}$ estimates for solutions of a class of obstacle problem for Hessian equations on Riemannian manifolds. Some applications are also discussed. The main contribution of this paper is the boundary estimates for second-order derivatives.

Keywords

• Obstacle problem
• Hessian equations
• Second-order estimates