Weakly coupled systems of the infinity Laplace equations
  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. 
Hiroyoshi Mitake, Hung Vinh Tran
math.AP