A new proof of gradient estimates for  mean curvature equations with  oblique boundary conditions

Jinju  Xu

doi:10.3934/cpaa.2016010

Article Contents

2016, Volume 15, Issue 5: 1719-1742. Doi: 10.3934/cpaa.2016010

This issue Previous Article Polyharmonic Kirchhoff type equations with singular exponential nonlinearities Next Article Long time behavior of solutions to a Schrödinger-Poisson system in $R^3$

A new proof of gradient estimates for mean curvature equations with oblique boundary conditions

Jinju Xu^1,

1.
University of Science and Technology of China, Hefei Anhui, 230026

Received: August 31, 2015

Revised: February 29, 2016

Published: August 2016

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Abstract

In this paper, we will use the maximum principle to give a new proof of the gradient estimates for mean curvature equations with some oblique derivative problems. In particular, we shall give a new proof for the capillary problem with zero gravity.

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Mathematics Subject Classification: Primary: 35B45, 35B50; Secondary: 35J92.

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