Calculus of Variations and Geometric Measure Theory

U. Menne - C. Scharrer

An isoperimetric inequality for diffused surfaces

created by scharrer on 09 Mar 2020

[BibTeX]

Published Paper

Inserted: 9 mar 2020
Last Updated: 9 mar 2020

Journal: Kodai Mathematical Journal
Volume: 41
Number: 1
Pages: 70-85
Year: 2018
Doi: 10.2996/kmj/1521424824

ArXiv: 1612.03823 PDF

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.