On the behaviour of solutions to the Dirichlet problem for second order elliptic equations near edges and polyhedral vertices with critical angles
The authors treat the Dirichlet problem for second order linear elliptic equations in domains with singular boundary and especially in domains in \(\mathbb{R}^ n\) with smooth \((n-2)\)-dimensional edges of the boundary. Detailed asymptotic expansions of the solution near the edges are proved also in the case where logarithmic terms are present and in the case of an ``edge'' where the angle along this edge runs through the critical values.
scientific article; zbMATH DE number 549185