Year: 2015
Author: Heming Jiao
Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 275–289
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v48n3.15.06
Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 275–289
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Non-concave fully nonlinear elliptic equations Riemannian manifolds a priori estimates Dirichlet problem subsolutions.