Regularity of Solutions to Dirichlet Boundary Value Problem in Domains on a Manifold / I. V. Tsylin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 5. P. 44-49 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 204-207].

The regularity of solutions to the Dirichlet boundary value problem is studied for elliptic differential operators of order 2m defined on subdomains of a manifold. Relationships between the smoothness of the right hand side, the boundary, and the solutions are obtained.

Key words: elliptic operators, Dirichlet problem, Nikolskii–Besov spaces, pointwise multipliers.