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A new proof of gradient estimates for mean curvature equations with oblique boundary conditions. (English) Zbl 1348.35043

Summary: 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.

MSC:

35B45 A priori estimates in context of PDEs
35B50 Maximum principles in context of PDEs
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
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