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A Nonlinear Mean Value Property for Monge-Amp\`ere (Q4992562)

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scientific article; zbMATH DE number 7356989

Language	Label	Description	Also known as
English	A Nonlinear Mean Value Property for Monge-Amp\`ere	scientific article; zbMATH DE number 7356989

Statements

scholarly article

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Fernando Charro

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Juan J. Manfredi

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publication date

9 June 2021

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full work available at URL

https://arxiv.org/abs/2006.10024

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https://www.heldermann.de/JCA/JCA28/JCA282/jca28022.htm#jca282

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zbMATH Keywords

Monge-Ampère equation

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mean value formula

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.AP

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Properties of mean value sets: angle conditions, blowup solutions, and nonconvexity

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Nondegenerate motion of singular points in obstacle problems with varying data

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On the asymptotic mean value property for planar 𝑝-harmonic functions

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Geometry of mean value sets for general divergence form uniformly elliptic operators

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Mean value theorems for Riemannian manifolds via the obstacle problem

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Game Theory and Partial Differential Equations

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The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators

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Subharmonic functions in sub-Riemannian settings

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Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation

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A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity

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Some regularity properties of solutions of Monge Ampère equation

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A note on the degeneracy of convex solutions to monge amperé equation

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The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

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The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

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Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames

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The Monge–Ampère equation and its link to optimal transportation

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A mean value formula for the variational \(p\)-Laplacian

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On the characterization of \(p\)-harmonic functions on the Heisenberg group by mean value properties

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The Monge-Ampère equation and its applications

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Méthodes de contrôle optimal en analyse complexe. I: Résolution d'équation de Monge Ampère

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Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle

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The Monge-Ampère equation

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On the Mean-Value Property of Harmonic Functions

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On absolutely minimizing Lipschitz extensions and PDE \(\bigtriangleup_{\infty}(u)=0\)

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Harmonious Extensions

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Notes on the Infinity Laplace Equation

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On the mean value property for the $p$-Laplace equation in the plane

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Sur les équations de Monge-Ampère. I

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Two remarks on Monge-Ampère equations

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An asymptotic mean value characterization for 𝑝-harmonic functions

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Tug-of-war and the infinity Laplacian

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Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian

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On the Dirichlet problem for Hessian equations

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Weak solutions of hessian equations

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Identifiers

zbMATH Open document ID

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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:4992562

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