The obstacle problem for Hessian equations on Riemannian manifolds

Heming Jiao; Yong Wang

doi:10.1016/j.na.2013.10.004

The obstacle problem for Hessian equations on Riemannian manifolds

Heming Jiao^*
, Yong Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

5 Scopus citations

Abstract

In this paper, we consider the obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. The C1^,1 regularity of the greatest viscosity solutions is established.

Original language	English
Pages (from-to)	543-552
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	95
DOIs	https://doi.org/10.1016/j.na.2013.10.004
State	Published - 2014

Keywords

Fully nonlinear equations
Obstacle problem
Regularity
Viscosity solution

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10.1016/j.na.2013.10.004

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title = "The obstacle problem for Hessian equations on Riemannian manifolds",

abstract = "In this paper, we consider the obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. The C1,1 regularity of the greatest viscosity solutions is established.",

keywords = "Fully nonlinear equations, Obstacle problem, Regularity, Viscosity solution",

author = "Heming Jiao and Yong Wang",

year = "2014",

doi = "10.1016/j.na.2013.10.004",

language = "英语",

volume = "95",

pages = "543--552",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

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TY - JOUR

T1 - The obstacle problem for Hessian equations on Riemannian manifolds

AU - Jiao, Heming

AU - Wang, Yong

PY - 2014

Y1 - 2014

N2 - In this paper, we consider the obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. The C1,1 regularity of the greatest viscosity solutions is established.

AB - In this paper, we consider the obstacle problem for a class of fully nonlinear equations on Riemannian manifolds. The C1,1 regularity of the greatest viscosity solutions is established.

KW - Fully nonlinear equations

KW - Obstacle problem

KW - Regularity

KW - Viscosity solution

UR - https://www.scopus.com/pages/publications/84887035423

U2 - 10.1016/j.na.2013.10.004

DO - 10.1016/j.na.2013.10.004

M3 - 文章

AN - SCOPUS:84887035423

SN - 0362-546X

VL - 95

SP - 543

EP - 552

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

The obstacle problem for Hessian equations on Riemannian manifolds

Abstract

Keywords

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