A discrete stochastic interpretation of the dominative \(p\)-Laplacian.

zbMath1474.35292arXiv1809.00714MaRDI QIDQ2200754

Juan J. Manfredi, Peter Lindqvist, Karl K. Brustad

Publication date: 22 September 2020

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

Full work available at URL: https://arxiv.org/abs/1809.00714

zbMATH Keywords

stochastic game theorydominative \(p\)-Laplace equationnon-linear mean value operator

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear elliptic equations (35J60) Stochastic games, stochastic differential games (91A15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Concave power solutions of the dominative \(p\)-Laplace equation ⋮ Asymptotic \(C^{1,\gamma}\)-regularity for value functions to uniformly elliptic dynamic programming principles ⋮ Game-theoretic approach to Hölder regularity for PDEs involving eigenvalues of the Hessian ⋮ Hölder regularity for stochastic processes with bounded and measurable increments ⋮ A control problem related to the parabolic dominative \(p\)-Laplace equation ⋮ Local regularity estimates for general discrete dynamic programming equations

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