Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters. (April 2017)

• Record Type: Journal Article
• Authors: Colombo, M.; Maggi, F.
• Is Part Of: Nonlinear analysis. Volume 153(2017)
• Page Start: 243
• Page End: 274
• Publication Date: 2017-04
• Subjects: Isoperimetric problems -- Fractional perimeters -- Partition problems; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.09.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The existence of minimizers in the fractional isoperimetric problem with multiple volume constraints is proved, together with a partial regularity result.