Venturino: Dirichlet problem for a divergence form elliptic equation with unbounded coefficients in an unbounded domain

Abstract. We prove existence and uniqueness of the solution of the Dirichlet pro-blem for a class of elliptic equations in divergence form with discontinuous and un-bounded coefficients in unbounded domains. 1. Introduction. In 1985 in two interesting papers [4], [5] P. L. Lions considered the Dirichle