The Robin mean value equation. II: Asymptotic Hölder regularity

DOI10.1007/s11118-022-10014-zOpenAlexW4296117795MaRDI QIDQ6145288

Marta Lewicka, Yuval Peres

Publication date: 9 January 2024

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-022-10014-z

zbMATH Keywords

existenceuniquenessrandom walkRobin Laplace problemRobin mean value equations

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
• The Robin-Laplacian problem on varying domains
• Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
• Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
• A mixed problem for the infinity Laplacian via tug-of-war games
• Coupling of multidimensional diffusions by reflection
• Gradient estimates on manifolds using coupling
• The probabilistic solution of the third boundary value problem for second order elliptic equations
• Regularity for nonlinear stochastic games
• Random walks and random tug of war in the Heisenberg group
• Which domains have two-sided supporting unit spheres at every boundary point?
• On the definition and properties of $p$-harmonious functions
• Tug-of-war and the infinity Laplacian
• A Probabilistic Formula for a Poisson Equation with Neumann Boundary Condition
• A probalistic solution of the Neumann problem.
• Elliptic Partial Differential Equations of Second Order
• Tug-of-War and Infinity Laplace Equation with Vanishing Neumann Boundary Condition
• Oblique Derivative Problems for Elliptic Equations
• On the Robin problem in fractal domains
• Asymptotic Hölder regularity for the ellipsoid process