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A new proof of the gradient estimate for graphs of prescribed mean curvature

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Abstract

The aim of this paper is to give a new proof of the gradient estimate for graphs of prescribed mean curvatureH=H(x,y,z). Similarly as in [2] where the caseH=H(x,y) is studied, we introduce conformal parameters for the surface. Then we employ the differential equation for the unit normal of the surface derived in [3] Satz 1. By this method, which is contained in [4] Satz 4, we prove the following

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References

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  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P. O. Box 413, 53201, Milwaukee, WI, U.S.A.

    Friedrich Sauvigny

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  1. Friedrich Sauvigny
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Sauvigny, F. A new proof of the gradient estimate for graphs of prescribed mean curvature. Manuscripta Math 74, 83–86 (1992). https://doi.org/10.1007/BF02567659

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  • DOI: https://doi.org/10.1007/BF02567659

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