A New Proof of Gradient Estimates for Mean Curvature Equations with Oblique Boundary Conditions

Jinju Xu

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arXiv · 1411.5790

A New Proof of Gradient Estimates for Mean Curvature Equations with Oblique Boundary Conditions

Jinju Xu

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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. Specially, we shall give a new proof for the capillary problem with zero gravity in any dimension $n\geq 2$ and Neumann problem in $n=2, 3$ dimensions.

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Jinju Xu. 2014-11-21. A New Proof of Gradient Estimates for Mean Curvature Equations with Oblique Boundary Conditions. https://arxiv.org/abs/1411.5790

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