Systems of Fully Nonlinear Degenerate Elliptic Obstacle problems with Dirichlet boundary conditions

Abstract

In this paper we prove existence and uniqueness of viscosity solutions of elliptic systems associated to fully nonlinear operators for minimization problems that involve interconnected obstacles. This system appears, among other, in the theory of the so-called optimal switching problems on bounded domains.

Accepted for publication in Annali di Matematica Pura ed Applicata