A Nonlinear Mean Value Property for Monge-Amp\`ere
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Publication:4992562
zbMath1466.35235arXiv2006.10024MaRDI QIDQ4992562
Fernando Charro, Juan J. Manfredi, Julio D. Rossi, Pablo Blanc
Publication date: 9 June 2021
Full work available at URL: https://arxiv.org/abs/2006.10024
Related Items (7)
Asymptotic mean-value formulas for solutions of general second-order elliptic equations ⋮ Asymptotic mean value formulas for parabolic nonlinear equations ⋮ Convergence of natural \(p\)-means for the \(p\)-Laplacian in the Heisenberg group ⋮ Asymptotic mean value properties for the elliptic and parabolic double phase equations ⋮ A game theoretical approximation for a parabolic/elliptic system with different operators ⋮ A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations ⋮ Games associated with products of eigenvalues of the Hessian
Cites Work
- The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators
- The Monge-Ampère equation and its applications
- Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
- Two remarks on Monge-Ampère equations
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Méthodes de contrôle optimal en analyse complexe. I: Résolution d'équation de Monge Ampère
- On the Dirichlet problem for Hessian equations
- Geometry of mean value sets for general divergence form uniformly elliptic operators
- Sur les équations de Monge-Ampère. I
- Subharmonic functions in sub-Riemannian settings
- A mean value formula for the variational \(p\)-Laplacian
- Nondegenerate motion of singular points in obstacle problems with varying data
- Properties of mean value sets: angle conditions, blowup solutions, and nonconvexity
- Mean value theorems for Riemannian manifolds via the obstacle problem
- On the characterization of \(p\)-harmonic functions on the Heisenberg group by mean value properties
- On absolutely minimizing Lipschitz extensions and PDE \(\bigtriangleup_{\infty}(u)=0\)
- Notes on the Infinity Laplace Equation
- On the asymptotic mean value property for planar 𝑝-harmonic functions
- The Monge–Ampère equation and its link to optimal transportation
- Tug-of-war and the infinity Laplacian
- A note on the degeneracy of convex solutions to monge amperé equation
- On the mean value property for the $p$-Laplace equation in the plane
- An asymptotic mean value characterization for 𝑝-harmonic functions
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- Some regularity properties of solutions of Monge Ampère equation
- Weak solutions of hessian equations
- Harmonious Extensions
- Game Theory and Partial Differential Equations
- On the Mean-Value Property of Harmonic Functions
- Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
- The Monge-Ampère equation
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