Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds

Author(s)

Abstract

In this paper, we derive second order estimates for a class of non-concave Hessian type elliptic equations on Riemannian manifolds. By applying a new method for $C^2$ estimates, we can weaken some conditions, which works for some non-concave equations. Gradient estimates are also obtained.

Keywords:

Non-concave fully nonlinear elliptic equations Riemannian manifolds a priori estimates Dirichlet problem subsolutions.
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DOI

10.4208/jms.v48n3.15.06

How to Cite

Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds. (2015). Journal of Mathematical Study, 48(3), 275-289. https://doi.org/10.4208/jms.v48n3.15.06