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arXiv · 1411.6838

Neumann boundary value problem in domains of the Heisenberg Group $\mathbb H_n$

S. Dubey·A. Kumar·M. M. Mishra
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Abstract

Existence and uniqueness of the solution of the Neumann problem for the Kohn-Laplacian on the Kor\'anyi ball of the Heisenberg group $\mathbb{H}_n$ are discussed. Explicit representations of Green's type function (Neumann function) for the half space and Kor\'anyi ball in $\mathbb{H}_n$ for circular functions have been obtained. These functions are then used on above regions in $\mathbb{H}_n$ to solve the inhomogeneous Neumann boundary value problem for circular data.

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S. Dubey, A. Kumar, M. M. Mishra. 2014-11-25. Neumann boundary value problem in domains of the Heisenberg Group $\mathbb H_n$. https://arxiv.org/abs/1411.6838

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