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

2014/11/25 by Swati Dubey, Ajay Kumar, Dubey, S. +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1411.6838

openalex publication_date 2014/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• A Neumann type problem on an unbounded domain in the Heisenberg group
• Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group \mathbb H_n
• Boundary Regularity for the ∂_b-Neumann problem, Part 2
• Non-compactness of the Neumann operator for the Kohn Laplacian on the Heisenberg ball
• Green's function for certain domains in the Heisenberg Group \mathbb H_n