On Nonisolated Singular Points of Solutions to Linear Elliptic Equations with Constant Coefficients

For an arbitrary homogeneous elliptic linear differential operator $P$ with constant coefficients, results on the removal of singularities of the solutions to the equation $Pf=0$ in various classes of functions (such as the Hölder–Zygmund classes, Nikol'skii–Besov classes, and function classes defined with the use of local mean approximations by the solutions to the equation under consideration) are presented. The results are stated in terms of Hausdorff measures, Minkowski girths, and special capacities and generalized Hausdorff-type girths introduced in the paper and associated with the Nikol'skii–Besov classes.