Abstract
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 is not sufficiently large.
Original language | English |
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Pages (from-to) | 41-57 |
Number of pages | 17 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Volume | 519 |
DOIs | |
Publication status | Published - 2000 |