Green's function for a slice of the Korányi ball in the Heisenberg group \(\mathbb{H}_n\)

DOI10.1155/2015/460461zbMath1404.35471DBLPjournals/ijmmsc/DubeyKM15OpenAlexW1954556271WikidataQ59109830 ScholiaQ59109830MaRDI QIDQ1751369

Ajay Kumar, Mukund Madhav Mishra, Shivani Dubey

Publication date: 25 May 2018

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/460461

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Nilpotent and solvable Lie groups (22E25) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

A Neumann type problem on an unbounded domain in the Heisenberg group

Cites Work

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• Green's function for certain domains in the Heisenberg group \(\mathbb H_n\)
• Poisson formulas for circular functions on some groups of type \(H\)
• Kelvin transforms and harmonic polynomials on the Heisenberg group
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Green´s functions on the Heisenberg group
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Green functions and related boundary value problems on the Heisenberg group
• A fundamental solution for a subelliptic operator

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