Symmetric self-shrinkers for the fractional mean curvature flow

DOI10.1007/s12220-019-00214-2zbMath1462.53083arXiv1812.01847OpenAlexW2964308352WikidataQ127802396 ScholiaQ127802396MaRDI QIDQ2658957

Matteo Novaga, Annalisa Cesaroni

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01847

zbMATH Keywords

singularitiesself-similar solutionsfractional mean curvature flow

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Fractional partial differential equations (35R11) Flows related to mean curvature (53E10)

Related Items (3)

\(K\)-mean convex and \(K\)-outward minimizing sets ⋮ Fractional mean curvature flow of Lipschitz graphs ⋮ Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions

Cites Work

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• A Notion of Nonlocal Curvature
• Self-shrinkers with a rotational symmetry
• Nonlocal minimal surfaces
• Neckpinch singularities in fractional mean curvature flows
• STABILITY OF CRYSTALLINE EVOLUTIONS

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