Tug-of-war games and the infinity Laplacian with spatial dependence

DOI10.3934/cpaa.2013.12.1959zbMath1267.35086OpenAlexW2051471903MaRDI QIDQ1948427

Julio D. Rossi, Ivana Gómez

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1959

zbMATH Keywords

Dirichlet problemviscosity solutionsinfinity Laplaciantug-of-war games

Mathematics Subject Classification ID

Differential games and control (49N70) Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Stochastic games, stochastic differential games (91A15) Positional games (pursuit and evasion, etc.) (91A24) Viscosity solutions to PDEs (35D40)

Related Items (4)

Kaplan's penalty operator in approximation of a diffusion-absorption problem with a one-sided constraint ⋮ A boundary-value problem for normalized Finsler infinity-Laplacian equations with singular nonhomogeneous terms ⋮ Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian ⋮ A weighted eigenvalue problem of the biased infinity Laplacian ^*

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