Abstract

This paper is a sketch of the theory of general elliptic boundary value problems in domains with edges of various dimensions on the boundary. In particular, the class of admissible domains contains polygons, cones, lenses and polyhedrons. Discontinuities in the coefficients of the operators along edges are allowed. We discuss solvability of the problems and obtain asymptotic formulas for solutions near singularities of the boundary and of the coefficients.

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