Polyharmonic Dirichlet problem on the Heisenberg group

DOI10.1080/17476930802509221zbMath1177.22005OpenAlexW2137241905MaRDI QIDQ3548450

Mukund Madhav Mishra, Ajay Kumar

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1080/17476930802509221

zbMATH Keywords

Dirichlet problemGreen's functionHeisenberg groupPoisson kernelnilpotent Lie groups

Mathematics Subject Classification ID

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

Related Items (2)

Green´s functions on the Heisenberg group ⋮ Green functions and related boundary value problems on the Heisenberg group

Cites Work

• Poisson formulas for circular functions on some groups of type \(H\)
• Kelvin transforms and harmonic polynomials on the Heisenberg group
• Geometric properties of Heisenberg-type groups
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• \(H\)-type groups and Iwasawa decompositions
• Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• A fundamental solution for a subelliptic operator

This page was built for publication: Polyharmonic Dirichlet problem on the Heisenberg group