Monotonicity formulae and curvature equations
Date
2003
Authors
Urbas, John
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Walter de Gruyter
Abstract
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.
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Journal fur Reine und Angewandte Mathematik
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Journal article
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2037-12-31
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