Relative expander entropy in the presence of a two-sided obstacle and applications

DOI10.1016/j.aim.2022.108284zbMath1489.53121arXiv1906.07863OpenAlexW2949545924MaRDI QIDQ2118925

Jacob Bernstein, Lu Wang

Publication date: 23 March 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07863

zbMATH Keywords

mean curvature flowrelative entropyself-expanderforward monotonicity

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Quasilinear elliptic equations with mean curvature operator (35J93) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items (7)

Ancient asymptotically cylindrical flows and applications ⋮ Closed hypersurfaces of low entropy in \({\mathbb{R}^4}\) are isotopically trivial ⋮ A sharp isoperimetric property of the renormalized area of a minimal surface in hyperbolic space ⋮ A Relative Entropy and a Unique Continuation Result for Ricci Expanders ⋮ Relative entropy of hypersurfaces in hyperbolic space ⋮ Mean convex smoothing of mean convex cones ⋮ A mountain-pass theorem for asymptotically conical self-expanders

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