Gradient estimates of mean curvature equations with Neumann boundary value problems
type: Item
instance of: scholarly article
title: Gradient estimates of mean curvature equations with Neumann boundary value problems
zbMATH Open document ID: 1335.35084
author: Jinju Xu
author: Xinan Ma
published in: Advances in Mathematics
publication date: 2016-02-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1406.0046
review text: In this paper, the authors use the techniques developed by Spruck, Lieberman, Wang and Jin-Li-Li to get the gradient estimate for the solutions of the prescribed mean curvature equation with Neumann boundary value problem, which gives a positive answer for a question raised by \textit{G. M. Lieberman} [Oblique derivative problems for elliptic equations. Hackensack, NJ: World Scientific (2013; Zbl 1273.35006)]. As a consequence, the authors obtain the corresponding existence theorem for a class of mean curvature equations.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35J93
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 6538739
zbMATH Keywords: gradient estimate
zbMATH Keywords: prescribed mean curvature equation
zbMATH Keywords: Neumann boundary value problem
MaRDI profile type: Publication
OpenAlex ID: W2228711623
arXiv ID: 1406.0046
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DOI: 10.1016/J.AIM.2015.10.031
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description: scientific article