The Dirichlet Problem for elliptic equations in unbounded domains of the plane

Paola Cavaliere, Maria Transirico
2008 Journal of Function Spaces and Applications  
In this paper we prove a uniqueness and existence theorem for the Dirichlet problem inW2,pfor second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of classVMOand satisfy a suitable condition at infinity.
doi:10.1155/2008/872891 fatcat:hyadojzwzzdkhdqvuclfnqa4dq