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  An isoperimetric inequality for diffused surfaces

Menne, U., & Scharrer, C. (in press). An isoperimetric inequality for diffused surfaces.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-2483-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-F5EB-4
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1612.03823.pdf (Preprint), 421KB
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 Creators:
Menne, Ulrich1, Author           
Scharrer, Christian, Author
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1Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753352              

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Free keywords: Mathematics, Differential Geometry, math.DG,Mathematics, Analysis of PDEs, math.AP,
 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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 Dates: 2016-12-122017
 Publication Status: Accepted / In Press
 Pages: 14 pages, no figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1612.03823
URI: http://arxiv.org/abs/1612.03823
 Degree: -

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