A Liouville theorem for the semilinear fractional CR covariant equation on the heisenberg group

DOI10.1080/17476933.2018.1523898zbMath1415.35071OpenAlexW2893479732MaRDI QIDQ5378425

Xinjing Wang, Xuewei Cui, Peng Cheng Niu

Publication date: 12 June 2019

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

Full work available at URL: https://doi.org/10.1080/17476933.2018.1523898

zbMATH Keywords

moving plane methodCR inversionsub-Laplace Neumann problem

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Properties of solutions to fractional \(p\)-subLaplace equations on the Heisenberg group ⋮ A Liouville type theorem to an extension problem relating to the Heisenberg group ⋮ Liouville type theorem for fractional Laplacian system

Cites Work

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• An extension problem for the CR fractional Laplacian
• A nonlinear Liouville theorem for fractional equations in the Heisenberg group
• The Yamabe problem on CR manifolds
• Liouville theorems for semilinear equations on the Heisenberg group
• Harnack inequality for fractional sub-Laplacians in Carnot groups
• Hypoelliptic second order differential equations
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• A concave—convex elliptic problem involving the fractional Laplacian
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Nonlinear liouville theorems in the heisenberg group vip the moving plane method
• An Extension Problem Related to the Fractional Laplacian

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