Caroccia, Marco and Littig, Samuel (2019). The Cheeger-N-Problem in Terms of BV-Functions. J. Convex Anal., 26 (1). S. 33 - 48. LEMGO: HELDERMANN VERLAG. ISSN 0944-6532

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Abstract

We reformulate the Cheeger-N-partition problem as a minimization among a suitable class of BV functions. This allows us to obtain a new existence proof for the Cheeger-N-problem. Moreover, we derive some connections between the Cheeger-2-problem and the second eigenvalue of the 1-Laplace operator.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Caroccia, MarcoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Littig, SamuelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-160374
Journal or Publication Title: J. Convex Anal.
Volume: 26
Number: 1
Page Range: S. 33 - 48
Date: 2019
Publisher: HELDERMANN VERLAG
Place of Publication: LEMGO
ISSN: 0944-6532
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
OPERATORMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/16037

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