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arXiv · 1612.03823

An isoperimetric inequality for diffused surfaces

Ulrich Menne·Christian Scharrer
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Abstract

For general varifolds in Euclidean space, we prove an isoperimetric inequality, adapt the basic theory of generalised weakly differentiable functions, and obtain several Sobolev type inequalities. We thereby intend to facilitate the use of varifold theory in the study of diffused surfaces.

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Ulrich Menne, Christian Scharrer. 2017-10-12. An isoperimetric inequality for diffused surfaces. https://doi.org/10.2996/kmj%2F1521424824

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