TY - JOUR
T1 - A Sobolev Poincaré type inequality for integral varifolds
AU - Menne, Ulrich
N1 - Funding Information:
The author acknowledges financial support via the Forschergruppe no. 469 of the Deutsche Forschungsgemeinschaft. The research was carried out while the author was a PhD student at the University of Tübingen and put in its final form while the author was at the AEI Golm and the ETH Zürich. AEI publication number: AEI-2008-064.
PY - 2010/7
Y1 - 2010/7
N2 - In this work a local inequality is provided which bounds the distance of an integral varifold from a multivalued plane (height) by its tilt and mean curvature. The bounds obtained for the exponents of the Lebesgue spaces involved are shown to be sharp.
AB - In this work a local inequality is provided which bounds the distance of an integral varifold from a multivalued plane (height) by its tilt and mean curvature. The bounds obtained for the exponents of the Lebesgue spaces involved are shown to be sharp.
UR - https://www.scopus.com/pages/publications/77952430971
UR - https://www.scopus.com/pages/publications/77952430971#tab=citedBy
U2 - 10.1007/s00526-009-0291-9
DO - 10.1007/s00526-009-0291-9
M3 - Article
AN - SCOPUS:77952430971
SN - 0944-2669
VL - 38
SP - 369
EP - 408
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 3
ER -