Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group Hn\mathbb H_n

preprint2016arXivOpen access

Abstract

We study the polyharmonic Neumann and mixed boundary value problems on the Korányi ball in the Heisenberg group $\H_n$. Necessary and sufficient solvability conditions are obtained for the nonhomogeneous polyharmonic Neumann problem and Neumann-Dirichlet boundary value problems.

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