Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Caroccia, Marco UNSPECIFIED UNSPECIFIED UNSPECIFIED Littig, Samuel UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language OPERATOR Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/16037