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Interior Hölder estimates for non-parametric surfaces of prescribed mean curvature

Published online by Cambridge University Press:  12 July 2007

Fei-Tsen Liang
Fei-Tsen Liang
Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei, Taiwan 11529 (liangmath.sinica.edu.tw)
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Abstract

For a bounded solution to the mean curvature equation in Rn, we shall obtain its Hölder estimates, with exponent α, which are in linear proportion to the number obtained by dividing its global oscillation by the αth power of the distance of a point to the boundary of the domain after a suitable rescaling.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 3 , June 2003 , pp. 625 - 638
Copyright
Copyright © Royal Society of Edinburgh 2003

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