An Existence Result for the Infinity Laplacian with Non-homogeneous Neumann Boundary Conditions Using Tug-of-war Games

نویسندگان

  • FERNANDO CHARRO
  • JULIO D. ROSSI
چکیده

In this paper we show how to use a Tug-of-War game to obtain existence of a viscosity solution to the infinity laplacian with nonhomogeneous mixed boundary conditions. For a Lipschitz and positive function g there exists a viscosity solution of the mixed boundary value problem,

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تاریخ انتشار 2009