Local and global minimality issues for a nonlocal isoperimetric problem on \(\mathbb{R}^N\)

DOI10.4171/RLM/721zbMath1336.49052OpenAlexW2317526011MaRDI QIDQ269584

Riccardo Cristoferi, Marco Bonacini

Publication date: 19 April 2016

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/721

zbMATH Keywords

second variationglobal minimizerslocal minimizersminimality conditionsnonlocal isoperimetric problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)

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