A dynamic programming principle with continuous solutions related to the \(p\)-Laplacian, \(1

zbMath1374.35020arXiv1504.08082MaRDI QIDQ265223

Hans Hartikainen

Publication date: 1 April 2016

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.08082

zbMATH Keywords

Borel measurelower semicontinuous solutiontug-of-war gameupper semicontinuous solution

Mathematics Subject Classification ID

2-person games (91A05) Stochastic games, stochastic differential games (91A15) Theoretical approximation in context of PDEs (35A35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Convergence of dynamic programming principles for the \(p\)-Laplacian ⋮ Regularity for nonlinear stochastic games ⋮ Discrete approximations to the double-obstacle problem and optimal stopping of tug-of-war games ⋮ Hölder regularity for stochastic processes with bounded and measurable increments ⋮ Time-dependent tug-of-war games and normalized parabolic \(p\)-Laplace equations ⋮ Tug-of-war games with varying probabilities and the normalized \(p(x)\)-Laplacian ⋮ A mean value formula for the variational \(p\)-Laplacian ⋮ Variational \(p\)-harmonious functions: existence and convergence to \(p\)-harmonic functions ⋮ Convergence of the naturalp-means for thep-Laplacian

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