An isoperimetric inequality for diffused surfaces

Ulrich Menne; Christian Scharrer

doi:10.2996/kmj/1521424824

An isoperimetric inequality for diffused surfaces

Ulrich Menne, Christian Scharrer

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	70-85
Number of pages	16
Journal	Kodai Mathematical Journal
Volume	41
Issue number	1
DOIs	https://doi.org/10.2996/kmj/1521424824
Publication status	Published - 2018
Externally published	Yes

Keywords

Generalised weakly differentiable function
Isoperimetric inequality
Sobolev inequality
Varifold

ASJC Scopus subject areas

General Mathematics

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10.2996/kmj/1521424824

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title = "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.",

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author = "Ulrich Menne and Christian Scharrer",

year = "2018",

doi = "10.2996/kmj/1521424824",

language = "English",

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AU - Menne, Ulrich

AU - Scharrer, Christian

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KW - Generalised weakly differentiable function

KW - Isoperimetric inequality

KW - Sobolev inequality

KW - Varifold

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DO - 10.2996/kmj/1521424824

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EP - 85

JO - Kodai Mathematical Journal

JF - Kodai Mathematical Journal

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An isoperimetric inequality for diffused surfaces

Abstract

Keywords

ASJC Scopus subject areas

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