A characterization of l1 double bubbles with general interface interaction

Veröffentlichungen: Working PaperPreprint

Abstract

We investigate the optimal arrangements of two planar sets of given volume which are minimizing the l1 double-bubble interaction functional. The latter features a competition between the minimization of the l1 perimeters of the two sets and the maximization of their l1 interface. We investigate the problem in its full generality for sets of finite perimeter, by considering the whole range of possible interaction intensities and all relative volumes of the two sets. The main result is the complete classification of minimizers.
OriginalspracheEnglisch
DOIs
PublikationsstatusVeröffentlicht - 13 Nov. 2023

ÖFOS 2012

  • 101002 Analysis
  • 101016 Optimierung
  • 101009 Geometrie

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