The streamlines of <i>∞</i>-harmonic functions obey the inverse mean curvature flow (Q5872891)

scientific article; zbMATH DE number 7638229

Language	Label	Description	Also known as
English	The streamlines of <i>∞</i>-harmonic functions obey the inverse mean curvature flow	scientific article; zbMATH DE number 7638229

Statements

instance of

scholarly article

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title

The streamlines of <i>∞</i>-harmonic functions obey the inverse mean curvature flow (English)

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author

Roger Moser

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published in

Communications in Partial Differential Equations

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publication date

4 January 2023

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full work available at URL

https://arxiv.org/abs/2108.05807

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zbMATH Keywords

infinity-harmonic functions

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inverse mean curvature flow

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viscosity solution

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weak solution

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MaRDI profile type

MaRDI publication profile

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cites work

Extension of functions satisfying Lipschitz conditions

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On the partial differential equation $u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0$

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Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient

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$C^{1,\alpha}$ regularity for infinity harmonic functions in two dimensions

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$C^1$ regularity for infinity harmonic functions in two dimensions

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Tug-of-war and the infinity Laplacian

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Infinity-harmonic potentials and their streamlines

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The gradient flow of infinity-harmonic potentials

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On certain singular solutions of the partial differential equation $u^ 2_ xu_{xx}+2u_ xu_ yu_{xy}+u^ 2_ yu_{yy}=0$

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A Visit with the ∞-Laplace Equation

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The inverse mean curvature flow and the Riemannian Penrose inequality

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An asymptotic sharp Sobolev regularity for planar infinity harmonic functions

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Q4320841

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On p-harmonic functions in the plane and their stream functions

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On p-harmonic functions in the complex plane and curvature

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Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula

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The inverse mean curvature flow and $p$-harmonic functions

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The inverse mean curvature flow as an obstacle problem

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Geroch monotonicity and the construction of weak solutions of the inverse mean curvature flow

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Existence, uniqueness and structure of second order absolute minimisers

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The eigenvalue problem for the $\infty $-Bilaplacian

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Structure and classification results for the ∞-elastica problem

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Minimizers of a weighted maximum of the Gauss curvature

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Minimization of scalar curvature in conformal geometry

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Vector-valued optimal Lipschitz extensions

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$L^{\infty }$ variational problems for maps and the Aronsson PDE system

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Explicit 2D $\infty$-harmonic maps whose interfaces have junctions and corners

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∞-minimal submanifolds

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On the Structure of ∞-Harmonic Maps

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Nonuniqueness in vector-valued calculus of variations in $L^\infty$ and some linear elliptic systems

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A New Characterisation of $\infty$-Harmonic and $p$-Harmonic Maps via Affine Variations in $L^\infty$

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Boundary regularity for solutions of degenerate elliptic equations

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Identifiers

zbMATH Open document ID

1506.35108

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DOI

10.1080/03605302.2022.2109487

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5872891