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http://dx.doi.org/10.4134/JKMS.j210462

A NEUMANN TYPE PROBLEM ON AN UNBOUNDED DOMAIN IN THE HEISENBERG GROUP  

Dubey, Shivani (Department of Mathematics Vivekananda College University of Delhi)
Mishra, Mukund Madhav (Department of Mathematics Hansraj College University of Delhi)
Pandey, Ashutosh (Department of Mathematics Faculty of Mathematical Sciences University of Delhi)
Publication Information
Journal of the Korean Mathematical Society / v.59, no.3, 2022 , pp. 635-648 More about this Journal
Abstract
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;
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