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On the existence of integral currents with prescribed mean curvature vector |
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| Authors: | Frank Duzaar Martin Fuchs |
| Affiliation: | 1. Institut für Angewandte Math. der Univ. Bonn, SFB 256, Universit?t Bonn, Beringstr. 4, D-5300, Bonn 1 2. Mathematisches Institut der Heinrich-Heine-Univ. Düsseldorf, Universit?tsstr. 1, D-4000, Düsseldorf |
| Abstract: | Given an integralm-currentT 0 in ℝ m+k and a tensorH of typ (m, 1) on ℝ m+k with values orthogonal to each of its arguments we prove the existence of an integralm-currentT with boundary ∂T=∂T 0 having prescribed mean curvature vectorH, i. e.  is a solution of  |
| Keywords: | integral currents generalized mean curvature stationary varifolds isoperimetric inequality AMS-classification 49F20 49F22 53A10 |
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