On a problem of eigenvalues for a singular elliptic operator considered in the model three-dimensional domain

In this article, a spectral problem of a special form is solved for the second-order singular elliptic operator in a three-dimensional model domain the form of a hemisphere with a cone cut out in a given direction. The restructuring of the eigenvalues, the change in their multiplicity and the transformation of the eigenfunctions with variation of the cone angle are presented.