TY - JOUR
T1 - An isoperimetric inequality for diffused surfaces
AU - Menne, Ulrich
AU - Scharrer, Christian
N1 - Funding Information:
We would like to thank Dr Blanche Buet, Professor Guido De Philippis, and Professor Yoshihiro Tonegawa for conversations on the subject of this paper. The paper was written while both authors worked at the Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and the University of Potsdam.
Publisher Copyright:
© 2018, Tokyo Institute of Technology. All rights reserved.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
KW - Generalised weakly differentiable function
KW - Isoperimetric inequality
KW - Sobolev inequality
KW - Varifold
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U2 - 10.2996/kmj/1521424824
DO - 10.2996/kmj/1521424824
M3 - Article
AN - SCOPUS:85044673357
SN - 0386-5991
VL - 41
SP - 70
EP - 85
JO - Kodai Mathematical Journal
JF - Kodai Mathematical Journal
IS - 1
ER -