Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold

Jinju Xu; Dekai Zhang

doi:10.1142/S0129167X17500653

Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold

Jinju Xu^*
, Dekai Zhang

^*Corresponding author for this work

Shanghai Normal University
University of Science and Technology of China

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

3 Scopus citations

Abstract

We study the prescribed mean curvature equation with Neumann boundary conditions in domains of Riemannian manifold. The main goal is to establish the gradient estimates for solutions by the maximum principle. As a consequence, we obtain an existence result.

Original language	English
Article number	1750065
Journal	International Journal of Mathematics
Volume	28
Issue number	8
DOIs	https://doi.org/10.1142/S0129167X17500653
State	Published - 1 Jul 2017
Externally published	Yes

Keywords

Mean curvature equation
Neumann boundary condition
domains of Riemannian manifold
gradient estimates

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10.1142/S0129167X17500653

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title = "Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold",

abstract = "We study the prescribed mean curvature equation with Neumann boundary conditions in domains of Riemannian manifold. The main goal is to establish the gradient estimates for solutions by the maximum principle. As a consequence, we obtain an existence result.",

keywords = "Mean curvature equation, Neumann boundary condition, domains of Riemannian manifold, gradient estimates",

author = "Jinju Xu and Dekai Zhang",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

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T1 - Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold

AU - Xu, Jinju

AU - Zhang, Dekai

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We study the prescribed mean curvature equation with Neumann boundary conditions in domains of Riemannian manifold. The main goal is to establish the gradient estimates for solutions by the maximum principle. As a consequence, we obtain an existence result.

AB - We study the prescribed mean curvature equation with Neumann boundary conditions in domains of Riemannian manifold. The main goal is to establish the gradient estimates for solutions by the maximum principle. As a consequence, we obtain an existence result.

KW - Mean curvature equation

KW - Neumann boundary condition

KW - domains of Riemannian manifold

KW - gradient estimates

UR - https://www.scopus.com/pages/publications/85025126995

U2 - 10.1142/S0129167X17500653

DO - 10.1142/S0129167X17500653

M3 - 文章

AN - SCOPUS:85025126995

SN - 0129-167X

VL - 28

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 8

M1 - 1750065

ER -

Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold

Abstract

Keywords

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