𝐶^{1,1} regularity for an obstacle problem of Hessian equations on Riemannian manifolds-Reference-Cited by-同舟云学术

𝐶^{1,1} regularity for an obstacle problem of Hessian equations on Riemannian manifolds

Published:2016-02-02 Issue:8 Volume:144 Page:3441-3453
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jiao Heming

Abstract

In this paper, we study an obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. Using some new ideas, the C 1 , 1 C^{1,1} regularity for the greatest viscosity solution is established under essentially optimal structure conditions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-08/S0002-9939-2016-12988-2/S0002-9939-2016-12988-2.pdf

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