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

2015/10/31 by Dubey, S., Kumar, A., Mishra, M. M.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/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.

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