Green functions and related boundary value problems on the Heisenberg group

DOI10.1080/17476933.2012.693482zbMath1268.22008OpenAlexW2026606885MaRDI QIDQ4929156

Mukund Madhav Mishra, Ajay Kumar

Publication date: 13 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.693482

zbMATH Keywords

Dirichlet problemHeisenberg groupGreen functionPoisson kernelsub-LaplacianSchwarz alternating procedure

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Generalizations of potential theory (31C99)

Related Items (3)

Green's function for certain domains in the Heisenberg group \(\mathbb H_n\) ⋮ A Neumann type problem on an unbounded domain in the Heisenberg group ⋮ Green's function for a slice of the Korányi ball in the Heisenberg group \(\mathbb{H}_n\)

Cites Work

• Poisson formulas for circular functions on some groups of type \(H\)
• Harmonic boundary value problems in half disc and half ring
• Kelvin transforms and harmonic polynomials on the Heisenberg group
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Polyharmonic Dirichlet problem on the Heisenberg group
• 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
• Iterated Neumann problem for the higher order Poisson equation
• A fundamental solution for a subelliptic operator

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