Juan J. Manfredi, Julio D. Rossi, Stephanie J. Somersille
Published 2013-07-15Version 1
We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is infinity harmonic where it lies strictly above the obstacle. Moreover, we show that this function is the limit of value functions of a game we call obstacle tug-of-war.
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities
On the boundary Hölder regularity for the infinity Laplace equation
Obstacle problem for a class of parabolic equations of generalized $p$-Laplacian type
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