A characterization of ℓ1double bubbles with general interface interaction

Friedrich M, Górny W, Stefanelli U (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Advances in Calculus of Variations

DOI: 10.1515/acv-2023-0131

Abstract

We investigate the optimal arrangements of two planar sets of given volume which are minimizing the ℓ 1 {\ell_{1}} double-bubble interaction functional. The latter features a competition between the minimization of the ℓ 1 {\ell_{1}} perimeters of the two sets and the maximization of their ℓ 1 {\ell_{1}} 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.

Authors with CRIS profile

Manuel Friedrich Professur für Angewandte Mathematik (Angewandte Analysis)

Involved external institutions

University of Warsaw / Uniwersytet Warszawski PL Poland (PL) Universität Wien / University of Vienna AT Austria (AT)

How to cite

APA:

Friedrich, M., Górny, W., & Stefanelli, U. (2025). A characterization of ℓ1double bubbles with general interface interaction. Advances in Calculus of Variations. https://doi.org/10.1515/acv-2023-0131

MLA:

Friedrich, Manuel, Wojciech Górny, and Ulisse Stefanelli. "A characterization of ℓ1double bubbles with general interface interaction." Advances in Calculus of Variations (2025).

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