An isoperimetric inequality for diffused surfaces

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.

arXiv commentAwaiting publication in Kodai Math. J. The final printed version will be different. 14 pages, no figures

Cited by in corpus (1)

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