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The translating soliton equation (Q2065859)

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Language	Label	Description	Also known as
English	The translating soliton equation	scientific article

Statements

scholarly article

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The translating soliton equation (English)

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publication date

13 January 2022

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full work available at URL

https://arxiv.org/abs/1812.00592

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zbMATH Keywords

translating soliton

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maximum principle

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Dirichlet problem

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Perron method

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MaRDI profile type

MaRDI publication profile

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Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle

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The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1

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Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces

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The global geometry of surfaces with prescribed mean curvature in ℝ³

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Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés

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Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape

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Stability of translating solutions to mean curvature flow

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

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Elliptic partial differential equations of second order

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Isoperimetry of waists and concentration of maps

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Properties of translating solutions to mean curvature flow

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Helicoidal surfaces rotating/translating under the mean curvature flow

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Mean curvature flow singularities for mean convex surfaces

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Convexity estimates for mean curvature flow and singularities of mean convex surfaces

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Elliptic regularization and partial regularity for motion by mean curvature

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Existence of translating solutions to the flow by powers of mean curvature on unbounded domains

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Long-time existence of mean curvature flow with external force fields

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Dirichlet problem for anisotropic prescribed mean curvature equation on unbounded domains

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Constant mean curvature surfaces with boundary in Euclidean three-space

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Constant mean curvature graphs on unbounded convex domains

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Compact \(\lambda \)-translating solitons with boundary

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Invariant surfaces in Euclidean space with a log-linear density

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Some geometric properties of translating solitons in Euclidean space

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

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Invariant singular minimal surfaces

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Constant mean curvature surfaces with planar boundary

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Remark on the anisotropic prescribed mean curvature equation on arbitrary domains

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Compact translating solitons with non-empty planar boundary

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Evolution of hypersurfaces in central force fields

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Evolution of convex hypersurfaces by powers of the mean curvature

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Nonlinear evolution by mean curvature and isoperimetric inequalities

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The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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The Dirichlet Problem for Surfaces of Constant Mean Curvature

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On asymptotic behavior for singularities of the powers of mean curvature flow

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Complete translating solitons to the mean curvature flow in ℝ3 with nonnegative mean curvature

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The nature of singularities in mean curvature flow of mean-convex sets

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-68541-6_11

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2065859

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