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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 255, Pages 19–40 (Mi tm251)  
This article is cited in 37 scientific papers (total in 37 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
Full-text PDF (245 kB) Citations (37)
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 255, Pages 13–34
DOI: https://doi.org/10.1134/S0081543806040031
Bibliographic databases:
UDC: 517.9
Language: English
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
Citation in format AMSBIB
\Bibitem{BegVuZha06}
\by H.~Begehr, Vu~Thi~Ngoc~Ha, Zh.~Zhang
\paper Polyharmonic Dirichlet Problems
\inbook Function spaces, approximation theory, and nonlinear analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 255
\pages 19--40
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301607}
\zmath{https://zbmath.org/?q=an:1351.30033}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 255
\pages 13--34
\crossref{https://doi.org/10.1134/S0081543806040031}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846883488}
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    • This publication is cited in the following 37 articles:
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