Reifenberg flatness for almost minimizers of the perimeter under minimal assumptions

DOI10.1090/proc/15727zbMath1497.49052arXiv2104.09851OpenAlexW3156785876MaRDI QIDQ5027159

Berardo Ruffini, Michael Goldman, Matteo Novaga

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09851

zbMATH Keywords

Reifenberg flatnessalmost minimizersmeasure theoretical perimeter

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (1)

Optimization problems with non-local repulsion

Cites Work

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• Sets of Finite Perimeter and Geometric Variational Problems
• Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
• On Equilibrium Shape of Charged Flat Drops
• Regularity of minimizers for a model of charged droplets

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