This is a preview of subscription content, log in via an institution to check access.
Literature Cited
S. Agmon, A. Douglis, and L. Nirenberg, “Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I,” Commun. Pure Appl. Math.,12, No. 4, 623–727 (1959).
V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, The Asymptotic Behavior of Solutions of Elliptic Boundary-Value Problems under Singular Perturbations of the Domain [in Russian], Tbilisi State Univ. (1981).
V. G. Maz'ya and B. A. Plamenevskii, “Estimates of the Green functions and Schauder estimates of the solutions of elliptic boundary-value problems in a two-sided angle,” Sib. Mat. Zh.,19, No. 5, 1065–1082 (1978).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 161–179, March–April, 1984.
Rights and permissions
About this article
Cite this article
Maz'ya, V.G., Nazarov, S.A. & Plamenevskii, B.A. Dirichlet problem in domains with thin bridges. Sib Math J 25, 297–313 (1984). https://doi.org/10.1007/BF00971468
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971468