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

arXiv:1511.00079

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.