Weakly coupled systems of the infinity Laplace equations

Hiroyoshi Mitake; Hung Vinh Tran

arxiv: 1403.3760 · v1 · pith:JMXCRYL4new · submitted 2014-03-15 · 🧮 math.AP

Weakly coupled systems of the infinity Laplace equations

Hiroyoshi Mitake , Hung Vinh Tran This is my paper

classification 🧮 math.AP

keywords systemsconescoupledequationsgeneralizedinfinitylaplacesolutions

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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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Weakly coupled systems of the infinity Laplace equations

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