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

Authors

  • Heming Jiao Department of Mathematics, Harbin Institute of Technology, Harbin 150001, Helongjiang Province, P. R. China

DOI:

https://doi.org/10.4208/jms.v48n3.15.06

Keywords:

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

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.

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Published

2015-09-02

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Issue

Vol. 48 No. 3 (2015)

Section

Articles

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