An interior curvature bound for hypersurfaces of prescribed $k$-th mean curvature
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
Collections | ANU Research Publications |
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Date published: | 2000 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/90313 |
Source: | Journal fur Reine und Angewandte Mathematik |
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