A singular elliptic boundary value problem in domains with corners: II. The boundary value problem

Abstract

The present paper is a continuation of [1] and uses the notation and definitions introduced there. In [1], the authors also presented the properties of transformation operators, studied new function spaces, introduced the notion of σ-trace, and proved the direct and inverse trace theorems. In the present paper, we pose a singular boundary value problem in a domain with a single corner (singular) point. We prove some auxiliary results. The main result is given by the theorem on the unique solvability of the corresponding boundary value problem.