A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group

DOI10.1016/j.aim.2022.108851zbMath1506.35084OpenAlexW4313562217MaRDI QIDQ2679896

Xi-Nan Ma, Qianzhong Ou

Publication date: 26 January 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2022.108851

zbMATH Keywords

Heisenberg groupLiouville theoremsemilinear elliptic equationCR Yamabe problem

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (3)

On singular solutions of Lane-Emden equation on the Heisenberg group ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ Unnamed Item

Cites Work

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• Uniqueness theorems through the method of moving spheres
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• Global and local behavior of positive solutions of nonlinear elliptic equations
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• The CR Yamabe conjecture. The case \(n=1\)

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