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Monotonicity formulae and curvature equations

Urbas, John


We derive local integral estimates and monotonicity formulae for certain curvature quantities related to hypersurfaces of prescribed k-th mean curvature. We use these to improve interior curvature bounds established in previous work, and to derive a local Hölder gradient estimate for admissible solutions of the equation of prescribed scalar curvature.

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Journal fur Reine und Angewandte Mathematik


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