Abstract
The existence and uniqueness of the solution of the Neumann problem for the Kohn-Laplacian relative to the Korányi ball on the Heisenberg group \(\mathbb {H}_{n}\) are discussed. Explicit representation for a Green’s type function (Neumann function) for the Korányi ball in \(\mathbb {H}_{n}\) for circular functions has been obtained. This function is then used on the above region in \(\mathbb {H}_{n}\) to solve the inhomogeneous Neumann boundary value problem for certain circular data.
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Dubey, S., Kumar, A. & Mishra, M.M. The Neumann Problem for the Kohn-Laplacian on the Heisenberg Group \(\mathbb H_{n}\) . Potential Anal 45, 119–133 (2016). https://doi.org/10.1007/s11118-016-9538-1
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DOI: https://doi.org/10.1007/s11118-016-9538-1