The isoperimetric problem for nonlocal perimeters

DOI10.3934/dcdss.2018023zbMath1379.53013arXiv1707.06504OpenAlexW2963808346MaRDI QIDQ1677405

Matteo Novaga, Annalisa Cesaroni

Publication date: 21 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06504

zbMATH Keywords

Poincaré inequalityfractional perimeternonlocal isoperimetric inequality

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Fractional partial differential equations (35R11)

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• Anisotropic fractional perimeters
• Ground States of a Two Phase Model with Cross and Self Attractive Interactions
• Sets of Finite Perimeter and Geometric Variational Problems
• Nonlocal minimal surfaces

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