Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group

DOI10.1016/j.na.2020.112013zbMath1448.35063arXiv2002.06422OpenAlexW3033794523WikidataQ114146033 ScholiaQ114146033MaRDI QIDQ2201746

Alessandro Goffi

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06422

zbMATH Keywords

Liouville theoremsnonlinear degenerate elliptic equationsHadamard three-sphere theorem

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Viscosity solutions to PDEs (35D40) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (4)

On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries ⋮ Critical points of solutions of sub-elliptic equations on the Heisenberg group

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