Geodesic
On the spectrum of the operator pencil generated by the Dirichlet problem in a~cone
Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 27-48

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The operator pencil whose eigenvalues determine singularities of solutions to the Dirichlet problem at the vertex of a cone is studied. First the Dirichlet–Sobolev problem with data on the ray is considered, and the eigenvalues and eigenfunctions of the corresponding operator pencil are described. Then this information is used to show that the result of [2] is best possible in a sense. 
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     title = {On the spectrum of the operator pencil generated by the {Dirichlet} problem in a~cone},
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V. A. Kozlov; V. G. Maz'ya. On the spectrum of the operator pencil generated by the Dirichlet problem in a~cone. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 27-48. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a2/