C1,1 regularity for an obstacle problem of Hessian equations on Riemannian manifolds

Heming Jiao

doi:10.1090/proc/12988

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

Heming Jiao^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 regularity for the greatest viscosity solution is established under essentially optimal structure conditions.

Original language	English
Pages (from-to)	3441-3453
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	8
DOIs	https://doi.org/10.1090/proc/12988
State	Published - 2016

Keywords

C regularity
Fully nonlinear equations
Obstacle problem
Riemannian manifolds

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10.1090/proc/12988

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abstract = "In this paper, we study an obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. Using some new ideas, the C1,1 regularity for the greatest viscosity solution is established under essentially optimal structure conditions.",

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KW - C regularity

KW - Fully nonlinear equations

KW - Obstacle problem

KW - Riemannian manifolds

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DO - 10.1090/proc/12988

M3 - 文章

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

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

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Keywords

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