The Dirichlet Problem for elliptic equations in unbounded domains of the plane
Paola Cavaliere1and Maria Transirico1
Academic Editor: Josip Pečarić
Received01 Feb 2007
Abstract
In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.