GRADIENT ESTIMATES OF MEAN CURVATURE EQUATIONS WITH SEMI-LINEAR OBLIQUE BOUNDARY VALUE PROBLEMS.

In this paper, we consider the semi-linear oblique boundary value problem for the prescribed mean curvature equation. We find a suitable auxiliary function and use the maximum principle to get the gradient estimate. As a consequence, we obtain the corresponding existence theorem for a class of mean curvature equations with semi-linear oblique derivative problems [ABSTRACT FROM AUTHOR]