A fractional Michael-Simon Sobolev inequality on convex hypersurfaces

DOI10.4171/AIHPC/39MaRDI QIDQ2691952

Gyula Csató, Xavier Cabré, Matteo Cozzi

Publication date: 21 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13129

zbMATH Keywords

convexitynonlocal mean curvaturemaximal time of existencefractional mean curvature flowfractional Sobolev inequalities on manifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities involving derivatives and differential and integral operators (26D10) Flows related to mean curvature (53E10)

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