Literature Cited
V. G. Maz'ya, “On the behavior near the boundary of the solutions of the Dirichlet problem for the biharmonic operator,” Dokl. Akad. Nauk SSSR,235, No. 6, 1263–1266 (1977).
V. A. Kondrat'ev and O. A. Oleinik, “Boundary value problems for partial differential equations in nonsmooth domains,” Usp. Mat. Nauk,38, No. 2, 3–76 (1983).
V. A. Kondrat'ev, I. Kopachek, D. M. Lekveishvili, and O. A. Oleinik, “Sharp estimates in Hölder spaces and the exact Saint-Venant principle for solutions of the biharmonic equation,” Trudy Mat. Inst. Akad. Nauk SSSR,166, 91–106 (1984).
J. Necas, Les Méthodes Directes en Théorie des Equations Elliptiques, Academia, Prague (1967).
V. G. Maz'ya, Sobolev Spaces [in Russian], Leningrad State Univ. (1985).
Additional information
Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 6, pp. 113–126, November–December, 1990.
Rights and permissions
About this article
Cite this article
Maz'ya, V.G., Tashchiyan, G.M. Behavior of the gradient of the solution of the Dirichlet problem for the biharmonic equation near a boundary point of a three-dimensional domain. Sib Math J 31, 970–983 (1990). https://doi.org/10.1007/BF00970063
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970063