Weakly coupled systems of the infinity Laplace equations

Hiroyoshi Mitake; Hung Vinh Tran

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arXiv · 1403.3760

Weakly coupled systems of the infinity Laplace equations

Hiroyoshi Mitake·Hung Vinh Tran

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Abstract

We derive the weakly coupled systems of the infinity Laplace equations via a tug-of-war game introduced by Peres, Schramm, Sheffield, and Wilson (2009). We establish existence, uniqueness results of the solutions, and introduce a new notion of "generalized cones" for systems. By using "generalized cones" we analyze blow-up limits of solutions.

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Hiroyoshi Mitake, Hung Vinh Tran. 2014-03-15. Weakly coupled systems of the infinity Laplace equations. https://arxiv.org/abs/1403.3760

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