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J. Korean Math. Soc. 2022; 59(3): 635-648
Online first article April 8, 2022 Printed May 1, 2022
https://doi.org/10.4134/JKMS.j210462
Copyright © The Korean Mathematical Society.
A Neumann type problem on an unbounded domain in the Heisenberg group
Shivani Dubey, Mukund Madhav Mishra, Ashutosh Pandey
University of Delhi; University of Delhi; University of Delhi
We discuss the wellposedness of the Neumann problem on a half-space for the Kohn-Laplacian in the Heisenberg group. We then construct the Neumann function and explicitly represent the solution of the associated inhomogeneous problem.
Keywords: Neumann problem, Heisenberg group, sub-Laplacian, horizontal normal vectors, Neumann function
MSC numbers: 31B20, 35H20, 35N15, 45B05, 65N80
Supported by: The research is supported by the Senior Research Fellowship of Council of Scientific \& Industrial Research (CSIR), Government of India under grant reference number 09/045(1479)/2017-EMR-I.
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