Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group $\mathbb H_n$
Analysis of PDEs
2016-06-29 v2
Abstract
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.
Cite
@article{arxiv.1511.00079,
title = {Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group $\mathbb H_n$},
author = {S. Dubey and A. Kumar and M. M. Mishra},
journal= {arXiv preprint arXiv:1511.00079},
year = {2016}
}