A NEW PROOF OF GRADIENT ESTIMATES FOR MEAN CURVATURE EQUATIONS WITH OBLIQUE BOUNDARY CONDITIONS

作者：Xu, Jinju^*

来源：Communications on Pure and Applied Analysis, 2016, 15(5): 1719-1742.

DOI：10.3934/cpaa.2016010

• Gradient estimates
• mean curvature equation
• maximum principle
• oblique boundary conditions
• zero gravity

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.

• 出版日期2016-9
• 单位中国科学技术大学