On the regularity of stationary points of a nonlocal isoperimetric problem

DOI10.4171/IFB/353zbMath1334.49135arXiv1405.4550MaRDI QIDQ5963015

Dorian Goldman, Alexander Volkmann

Publication date: 25 February 2016

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4550

zbMATH Keywords

regularitystationary pointsvarifoldsCaccioppoli setsnonlocal isoperimetric problemOhta-Kawasaki energy

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Optimization of shapes other than minimal surfaces (49Q10)

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Remark on a nonlocal isoperimetric problem

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