This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
V. G. Maz'ya, “Behavior of solutions to the Dirichlet problem for the biharmonic operator at a boundary point,” Lect. Notes Math.,703, 250–262 (1979).
V. G. Maz'ya and T. Donchev, “On the Wiener regularity of a boundary point for a polyharmonic operator,” Dokl. Bolg. Akad. Nauk,36, No. 2, 177–179 (1983).
V. G. Maz'ya and B. A. Plamenevskii, “On a maximum principle for the biharmonic equation in a domain with conical points,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 2, 52–59 (1981).
V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, “On homogeneous solutions of the Dirichlet problem in the exterior of a thin cone,” Dokl. Akad. Nauk SSSR,226, No. 2, 281–284 (1982).
V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, “On singularities of solutions of the Dirichlet problem in the exterior of a thin cone,” Mat. Sb.,122, No. 4, 435–456 (1983).
I. M. Gel'fand and G. E. Shilov, Generalized Functions and Operations on Them, Academic Press (1968).
L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. 1, Springer-Verlag, Berlin (1983).
B.-W. Schulze and G. Wildenhain, Methoden der Potentialtheorie für elliptische Differentialgleichungen beliebigen Ordnung, Akademie-Verlag, Berlin (1977), p. 408.
Translated from Matematicheskie Zametki, Vol. 39, No. 1, pp. 24–28, January, 1986.
About this article
Cite this article
Maz'ya, V.G., Nazarov, S.A. The vertex of a cone can be nonregular in the Wiener sense for a fourth-order elliptic equation. Mathematical Notes of the Academy of Sciences of the USSR 39, 14–16 (1986). https://doi.org/10.1007/BF01647626
- Elliptic Equation