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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 255, Pages 19–40
(Mi tm251)
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This article is cited in 35 scientific papers (total in 35 papers)
Polyharmonic Dirichlet Problems
H. Begehra, Vu Thi Ngoc Hab, Zh. Zhangc a Freie Universität Berlin, Institut für Mathematik
b Hanoi University of Science and Technology, Faculty of Applied Mathematics and Informatics
c Department of Mathematics, Wuhan University
Abstract:
A certain Dirichlet problem for the inhomogeneous polyharmonic equation is explicitly solved in the unit disc of the complex plane. The solution is obtained by modifying the related Cauchy–Pompeiu representation with the help of the polyharmonic Green function.
Received in August 2005
Citation:
H. Begehr, Vu Thi Ngoc Ha, Zh. Zhang, “Polyharmonic Dirichlet Problems”, Function spaces, approximation theory, and nonlinear analysis, Collected papers, Trudy Mat. Inst. Steklova, 255, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 19–40; Proc. Steklov Inst. Math., 255 (2006), 13–34
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https://www.mathnet.ru/eng/tm251 https://www.mathnet.ru/eng/tm/v255/p19
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Abstract page: | 746 | Full-text PDF : | 186 | References: | 71 |
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