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arxiv: 1511.00079 · v2 · pith:V5GHJ6VGnew · submitted 2015-10-31 · 🧮 math.AP

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

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keywords boundarypolyharmonicproblemsvaluegroupheisenbergmixedneumann
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We study the polyharmonic Neumann and mixed boundary value problems on the Kor\'{a}nyi 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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