%0 Journal Article
%T Weakly coupled systems of the infinity Laplace equations
%A Hiroyoshi Mitake
%A Hung Vinh Tran
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1403.3760v1