Paola Cavaliere, Maria Transirico
The Dirichlet problem for elliptic equations in the plane

Comment.Math.Univ.Carolinae 46,4 (2005) 751-758.

Abstract:In this paper an existence and uniqueness theorem for the Dirichlet problem in $W^{2,p}$ for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class {VMO}.

Keywords: elliptic equations, {VMO}-coefficients
AMS Subject Classification: 35J25, 35R05