Three-spheres theorems for subelliptic quasilinear equations in Carnot groups of Heisenberg-type

DOI10.1090/proc/13050zbMath1349.35075OpenAlexW2321595675MaRDI QIDQ2817007

Tomasz Adamowicz, Ben Warhurst

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13050

zbMATH Keywords

maximum principleHeisenberg groupLie algebraLie groupLiouville theoremCarnot groupsubelliptic equation\(p\)-LaplaceHadamard theoremsub-Laplace equation\(p\)-harmonicsub-Riemannianthree-circles theoremthree-spheres theorem

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Hypoelliptic equations (35H10) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group, Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group, THE UNIQUE CONTINUATION PROPERTY OF -HARMONIC FUNCTIONS ON THE HEISENBERG GROUP, Mean value property and harmonicity on Carnot-Carathéodory groups

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