A weighted W 2 , p -a priori bound for a class of elliptic operators
A weighted W 2 , p -a priori bound for a class of elliptic operators
We prove a weighted -a priori bound, , for a class of uniformly elliptic second-order differential operators on unbounded domains. We deduce a uniqueness and existence result for the solution of the related Dirichlet problem. MSC: 35J25, 35B45, 35R05.