The Neumann problem for the Kohn-Laplacian on the Heisenberg group \(\mathbb H_n\)

DOI10.1007/S11118-016-9538-1zbMath1345.31010OpenAlexW2303059870WikidataQ125134363 ScholiaQ125134363MaRDI QIDQ300441

Shivani Dubey, Mukund Madhav Mishra, Ajay Kumar

Publication date: 28 June 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-016-9538-1

zbMATH Keywords

Heisenberg groupspherical harmonicssub-LaplacianNeumann functionhorizontal normal vectors

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Spherical harmonics (33C55) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (5)

Well-posedness of a Neumann-type problem on a gauge ball in H-type groups ⋮ On Green functions for Dirichlet sub-Laplacians on \(H\)-type groups ⋮ Sub-elliptic boundary value problems in flag domains ⋮ A Neumann type problem on an unbounded domain in the Heisenberg group ⋮ Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Poisson formulas for circular functions on some groups of type \(H\)
• Isoperimetric inequalities for the logarithmic potential operator
• Partial differential equations. I: Basic theory
• Kelvin transforms and harmonic polynomials on the Heisenberg group
• Liouville-type theorems for some complex hypoelliptic operators
• Neumann function for the sphere. I
• The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A fundamental solution for a subelliptic operator
• Linear integral equations
• Rectifiability and perimeter in the Heisenberg group

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