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

^*此作品的通讯作者

Shanghai Normal University
University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
文章编号	1750065
期刊	International Journal of Mathematics
卷	28
期	8
DOI	https://doi.org/10.1142/S0129167X17500653
出版状态	已出版 - 1 7月 2017
已对外发布	是

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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",

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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

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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

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DO - 10.1142/S0129167X17500653

M3 - 文章

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SN - 0129-167X

VL - 28

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 8

M1 - 1750065

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

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