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arXiv · 1608.03701

Tug-of-war games with varying probabilities and the normalized $p(x)$-Laplacian

Ángel Arroyo·Joonas Heino·Mikko Parviainen
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Abstract

We study a tug-of-war game with varying probabilities. In particular, we show that the value of the game is locally asymptotically Hölder continuous. We also show the existence and uniqueness of values of the game. As an application, we prove that the value function of the game converges to a solution of the normalized $p(x)$-Laplacian.

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Ángel Arroyo, Joonas Heino, Mikko Parviainen. 2018-07-19. Tug-of-war games with varying probabilities and the normalized $p(x)$-Laplacian. https://doi.org/10.3934/cpaa.2017044

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