Estimates For Solutions In Weighted H(o|")lder Spaces Of The Dirichlet Problem For Linear Second Order Elliptic Equations In Plane Angular Domains

This paper is concerned with the Dirichlet problem for linear second order elliptic e-quations, which are defined in a bounded angular domain on the plane. As certain regularities of the nonhomogeneous part and the boundary value conditions are given, we can get accurate priori estimates for the solutions in the sense of norms to the weighted Holder space H2+α(-β)(D), where 1＜β＜2,0＜α＜2.The subscript of the space H2+α(-β)(D) denotes the regularity of the solutions in the interior of the domain, while the superscript indicates the regularity of the solutions on the corner. The proof of the conclusion mainly depends on the applications of the barrier function theory, the Schauder approach, local scaling skills and some techniques from linear second order elliptic equations.