Mather problem and viscosity solutions in the stationary setting

Diogo A. Gomes, Elismar R. Oliveira

In this paper we discuss the Mather problem for stationary Lagrangians, that is Lagrangians $L:\Rr^n\times \Rr^n\times Ω\to \Rr$, where $\Omega$ is a compact metric space on which $\Rr^…