Geodesic
Polyharmonic Dirichlet Problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 19-40

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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. 
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     author = {H. Begehr and Vu Thi Ngoc Ha and Zh. Zhang},
     title = {Polyharmonic {Dirichlet} {Problems}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {19--40},
     publisher = {mathdoc},
     volume = {255},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2006_255_a2/}
}
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H. Begehr; Vu Thi Ngoc Ha; Zh. Zhang. Polyharmonic Dirichlet Problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 19-40. http://geodesic.mathdoc.fr/item/TM_2006_255_a2/