Harnack's Inequality forp-Harmonic Functions via Stochastic Games

DOI10.1080/03605302.2013.814068zbMath1287.35044arXiv1204.6119OpenAlexW2054463601WikidataQ109553766 ScholiaQ109553766MaRDI QIDQ5746978

Hannes Luiro, Mikko Parviainen, Eero Saksman

Publication date: 11 February 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6119

zbMATH Keywords

Harnack inequalitystochastic gamesLipschitz estimatesdynamic programming principle\(p\)-harmonictwo-player zero-sum games

Mathematics Subject Classification ID

Differential games and control (49N70) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Local regularity for time-dependent tug-of-war games with varying probabilities, \(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem, Regularity for nonlinear stochastic games, Random walks and random tug of war in the Heisenberg group, Gradient walks and $p$-harmonic functions, Asymptotic \(C^{1,\gamma}\)-regularity for value functions to uniformly elliptic dynamic programming principles, A game theoretical approximation for a parabolic/elliptic system with different operators, A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions, A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations, Games associated with products of eigenvalues of the Hessian, Hölder regularity for stochastic processes with bounded and measurable increments, A game theoretical approach for a nonlinear system driven by elliptic operators, Time-dependent tug-of-war games and normalized parabolic \(p\)-Laplace equations, The obstacle problem for the \(p\)-Laplacian via optimal stopping of tug-of-war games, A priori Hölder and Lipschitz regularity for generalized \(p\)-harmonious functions in metric measure spaces, Tug-of-war games with varying probabilities and the normalized \(p(x)\)-Laplacian, Maximal operators for the \(p\)-Laplacian family, Game theoretical methods in PDEs, Gradient Hölder regularity for parabolic normalized \(p(x,t)\)-Laplace equation, The evolution problem associated with eigenvalues of the Hessian, Local Lipschitz regularity for functions satisfying a time-dependent dynamic programming principle, A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications, Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities, Local regularity estimates for general discrete dynamic programming equations, Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity, Gradient and Lipschitz Estimates for Tug-of-War Type Games

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