Regularity for an obstacle problem of Hessian equations on Riemannian manifolds

Gejun Bao; Weisong Dong; Heming Jiao

doi:10.1016/j.jde.2014.10.001

Regularity for an obstacle problem of Hessian equations on Riemannian manifolds

Gejun Bao
, Weisong Dong
, Heming Jiao^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

4 Scopus citations

Abstract

In this paper, we study the regularity for solutions to an obstacle problem of Hessian type fully nonlinear equations on Riemannian manifolds. As an application, the existence of a C^1,1 solution is proved.

Original language	English
Pages (from-to)	696-716
Number of pages	21
Journal	Journal of Differential Equations
Volume	258
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2014.10.001
State	Published - 1 Feb 2015

Keywords

Hessian equations
Obstacle problem
Regularity
Riemannian manifolds

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10.1016/j.jde.2014.10.001

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@article{e8352414a1c94a5b901dac9c761276d9,

title = "Regularity for an obstacle problem of Hessian equations on Riemannian manifolds",

abstract = "In this paper, we study the regularity for solutions to an obstacle problem of Hessian type fully nonlinear equations on Riemannian manifolds. As an application, the existence of a C1,1 solution is proved.",

keywords = "Hessian equations, Obstacle problem, Regularity, Riemannian manifolds",

author = "Gejun Bao and Weisong Dong and Heming Jiao",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

month = feb,

day = "1",

doi = "10.1016/j.jde.2014.10.001",

language = "英语",

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T1 - Regularity for an obstacle problem of Hessian equations on Riemannian manifolds

AU - Bao, Gejun

AU - Dong, Weisong

AU - Jiao, Heming

PY - 2015/2/1

Y1 - 2015/2/1

N2 - In this paper, we study the regularity for solutions to an obstacle problem of Hessian type fully nonlinear equations on Riemannian manifolds. As an application, the existence of a C1,1 solution is proved.

AB - In this paper, we study the regularity for solutions to an obstacle problem of Hessian type fully nonlinear equations on Riemannian manifolds. As an application, the existence of a C1,1 solution is proved.

KW - Hessian equations

KW - Obstacle problem

KW - Regularity

KW - Riemannian manifolds

UR - https://www.scopus.com/pages/publications/84919485463

U2 - 10.1016/j.jde.2014.10.001

DO - 10.1016/j.jde.2014.10.001

M3 - 文章

AN - SCOPUS:84919485463

SN - 0022-0396

VL - 258

SP - 696

EP - 716

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 3

ER -

Regularity for an obstacle problem of Hessian equations on Riemannian manifolds

Abstract

Keywords

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