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Some critical minimization problems for functions of bounded variations

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Bartsch, Thomas Willem, Michel [UCL]

Using a new elementary method, we prove the existence of minimizers for various critical problems in BV(Omega) and also in W-1,W-P(Omega), 1 < p < infinity. (C) 2010 Elsevier Inc. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2010
Language Anglais
Journal information "Journal of Functional Analysis" - Vol. 259, no. 11, p. 3025-3035 (2010)
Peer reviewed yes
Publisher Academic Press Inc Elsevier Science (San Diego)
issn 0022-1236
e-issn 1096-0783
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématiques et physique
Keywords Functions of bounded variation ; Critical exponents ; Gagliardo-Nirenberg inequality ; Isoperimetric inequalities
Links
Bibliographic reference Bartsch, Thomas ; Willem, Michel. Some critical minimization problems for functions of bounded variations. In: Journal of Functional Analysis, Vol. 259, no. 11, p. 3025-3035 (2010)
Permanent URL http://hdl.handle.net/2078.1/34368