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2020 On the existence of translating solutions of mean curvature flow in slab regions
Theodora Bourni, Mat Langford, Giuseppe Tinaglia
Anal. PDE 13(4): 1051-1072 (2020). DOI: 10.2140/apde.2020.13.1051

Abstract

We prove, in all dimensions n2, that there exists a convex translator lying in a slab of width πsec𝜃 in n+1 (and in no smaller slab) if and only if 𝜃[0,π2]. We also obtain convexity and regularity results for translators which admit appropriate symmetries and study the asymptotics and reflection symmetry of translators lying in slab regions.

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Theodora Bourni. Mat Langford. Giuseppe Tinaglia. "On the existence of translating solutions of mean curvature flow in slab regions." Anal. PDE 13 (4) 1051 - 1072, 2020. https://doi.org/10.2140/apde.2020.13.1051

Information

Received: 12 June 2018; Revised: 3 April 2019; Accepted: 18 April 2019; Published: 2020
First available in Project Euclid: 25 June 2020

zbMATH: 07221196
MathSciNet: MR4109899
Digital Object Identifier: 10.2140/apde.2020.13.1051

Subjects:
Primary: 53A10

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 4 • 2020
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