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

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≥ 2 and Neumann problem in n=2, 3 dimensions.

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