Spectral properties of the operator pencils, associated with elliptic boundary problems in a cone
V. A. Kozlov · Teubner-Texte zur Mathematik · 1992
It is known, that behaviour of solutions of elliptic boundary value problems near conic points of the boundary is determined by the eigenvalues of the boundary value problems polynomially depending on a spectral parameter, in regions of the unit sphere. If the positions of these eigenvalues are known, then one can draw conclusions about singularities, continuity, or smoothness of the solutions. Therefore this information is of interest for applications.