Esposito, L., Ferone, V., Kawohl, B., Nitsch, C. and Trombetti, C. (2012). The Longest Shortest Fence and Sharp Poincare-Sobolev Inequalities. Arch. Ration. Mech. Anal., 206 (3). S. 821 - 852. NEW YORK: SPRINGER. ISSN 0003-9527
Full text not available from this repository.Abstract
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, the disc, and only the disc, maximizes the length of the shortest area-bisecting curve. Although it may look intuitive, the result is by no means trivial since we also prove that among planar convex sets of given area the set which maximizes the length of the shortest bisecting chords is the so-called Auerbach triangle.
Item Type: | Journal Article | ||||||||||||||||||||||||
Creators: |
|
||||||||||||||||||||||||
URN: | urn:nbn:de:hbz:38-478295 | ||||||||||||||||||||||||
DOI: | 10.1007/s00205-012-0545-0 | ||||||||||||||||||||||||
Journal or Publication Title: | Arch. Ration. Mech. Anal. | ||||||||||||||||||||||||
Volume: | 206 | ||||||||||||||||||||||||
Number: | 3 | ||||||||||||||||||||||||
Page Range: | S. 821 - 852 | ||||||||||||||||||||||||
Date: | 2012 | ||||||||||||||||||||||||
Publisher: | SPRINGER | ||||||||||||||||||||||||
Place of Publication: | NEW YORK | ||||||||||||||||||||||||
ISSN: | 0003-9527 | ||||||||||||||||||||||||
Language: | English | ||||||||||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||||||||||
Subjects: | no entry | ||||||||||||||||||||||||
Uncontrolled Keywords: |
|
||||||||||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/47829 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |