42 citations · 159 across the 17 of their papers we have counts for
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math.CA2015★ 6 cited
Sobolev functions on varifolds
Ulrich Menne
This paper introduces first order Sobolev spaces on certain rectifiable varifolds. These complete locally convex spaces are contained in the generally nonlinear class of generalise…
math.DG2015★ 13 cited
Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds
Sławomir Kolasiński, Ulrich Menne
This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space satisfying integrability conditions on their first variation. Firstly, the study…