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

2014/11/21 by Jinju Xu, Xu, Jinju
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1411.5790

Welcome all comments. arXiv admin note: substantial text overlap with arXiv:1406.0046

arxiv created 2014/11/21 · openalex publication_date 2014/11/21 · arxiv updated 2014/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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