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@article{faucris.110321684,
abstract = {Given an integral m-current T 0 in ℝ^{ m+k} and a tensor H of typ (m, 1) on ℝ^{ m+k} with values orthogonal to each of its arguments we prove the existence of an integral m-current T with boundary ∂T=∂T 0 having prescribed mean curvature vector H, i. e. {Mathematical expression} is a solution of[Figure not available: see fulltext.] for all vectorfields X: ℝ^{ m+k} → ℝ^{ m+k} with spt(X)∩spt(∂T)=Ø. It turns out that we can solve the above equation assuming {Mathematical expression} where γ m denotes the constant of Almgren's Isoperimetric Theorem and {Mathematical expression} is an integral m-current minimizing mass for the boundary ∂T 0.},
author = {Duzaar, Frank and Fuchs, Martin},
doi = {10.1007/BF02568422},
faupublication = {no},
journal = {Manuscripta Mathematica},
keywords = {49F20; 49F22; 53A10; AMS-classification; generalized mean curvature; integral currents; isoperimetric inequality; stationary varifolds},
note = {UnivIS-Import:2015-03-05:Pub.1990.nat.dma.lma2.onthee},
pages = {41-67},
peerreviewed = {Yes},
title = {{On} the existence of integral currents with prescribed mean curvature vector},
url = {http://www.springerlink.com/content/f87239377k748433/fulltext.pdf},
volume = {67},
year = {1990}
}