Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
An isoperimetric inequality for diffused surfaces
Ulrich MenneChristian Scharrer
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2018 年 41 巻 1 号 p. 70-85

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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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© 2018 Department of Mathematics, Tokyo Institute of Technology
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