H. Begehr, Vu Thi Ngoc Ha, Zh. Zhang, “Polyharmonic Dirichlet Problems”, Trudy Mat. Inst. Steklova, 2006, Volume 255,Pages <nobr>19

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Polyharmonic Dirichlet Problems

H. Begehr^a, Vu Thi Ngoc Ha^b, Zh. Zhang^c

^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.

UDC: 517.9

Received in August 2005

Language: English