An isoperimetric inequality for diffused surfaces
Differential Geometry
2018-04-10 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1612.03823,
title = {An isoperimetric inequality for diffused surfaces},
author = {Ulrich Menne and Christian Scharrer},
journal= {arXiv preprint arXiv:1612.03823},
year = {2018}
}
Comments
Awaiting publication in Kodai Math. J. The final printed version will be different. 14 pages, no figures