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An interior curvature bound for hypersurfaces of prescribed $k$-th mean curvature

Urbas, John

Description

We derive an interior curvature bound for k-admissible hypersurfaces in ℝn+1 of prescribed k-th mean curvature in terms of the Lp norm of the mean curvature for some p > kn/2. Examples show that in the cases k ≧ 3 such a bound is generally false if p

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
URI: http://hdl.handle.net/1885/90313
Source: Journal fur Reine und Angewandte Mathematik

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