Generalizations of a Laplacian-type equation in the Heisenberg group and a class of Grushin-type spaces

DOI10.1090/S0002-9939-2013-11928-3zbMath1284.53034arXiv1112.4216MaRDI QIDQ5401681

Kristen Childers, Thomas Bieske

Publication date: 11 March 2014

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

Full work available at URL: https://arxiv.org/abs/1112.4216

zbMATH Keywords

Heisenberg groupGrushin-type plane\(\mathsf{p}\)-Laplace equation

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (3)

Generalizations of the drift Laplace equation over the quaternions in a class of Grushin-type spaces ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ Generalizations of the Drift Laplace Equation in the Heisenberg Group and a Class of Grushin-Type Spaces

Cites Work

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• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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