Some Remarkable Properties of H-graphs

Abstract

It is proved that if H (u) is non-decreasing and if H (?1) 6 = H (+1), then if u(x) describes a graph over a disk B R (0), with (upward oriented) mean curvature H (u), there is a bound on the gradient jD u(0)j that depends only on R, on u(0), and on the particular function H (u). As a consequence a form of Harnack's inequality is obtained, in which no… (More)

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Cite this paper

@inproceedings{Lu1997SomeRP, title={Some Remarkable Properties of H-graphs}, author={Jianan Lu}, year={1997} }