The Dirichlet problem on a strip for the \(\alpha\)-translating soliton equation

DOI10.1016/j.crma.2018.10.005zbMath1455.35216OpenAlexW2899198387MaRDI QIDQ1632819

Rafael López

Publication date: 17 December 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.10.005

zbMATH Keywords

Dirichlet problem, Perron method, translating soliton, grim reapers

Mathematics Subject Classification ID

Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (2)

Minimum principles and a priori estimates for some translating soliton type problems ⋮ The translating soliton equation

Cites Work

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• Existence of translating solutions to the flow by powers of mean curvature on unbounded domains
• Evolution of convex hypersurfaces by powers of the mean curvature
• The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
• Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés
• Elliptic regularization and partial regularity for motion by mean curvature
• The nature of singularities in mean curvature flow of mean-convex sets
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• Constant mean curvature graphs on unbounded convex domains

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