An invariant Harnack inequality for a class of subelliptic operators under global doubling and Poincaré assumptions, and applications

DOI10.1016/j.jmaa.2017.11.044zbMath1382.35058OpenAlexW2772471789MaRDI QIDQ1688838

Andrea Bonfiglioli, Erika Battaglia

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.044

zbMATH Keywords

Poincaré inequalityCarnot-Carathéodory spacesoperators in divergence formdoubling metric spacesinner and boundary Hölder estimateslow-regular coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10) Subelliptic equations (35H20) Green's functions for elliptic equations (35J08)

Related Items (3)

Global estimates for the fundamental solution of homogeneous Hörmander operators ⋮ Abstract approach to non homogeneous Harnack inequality in doubling quasi metric spaces ⋮ Sublinear equations driven by Hörmander operators

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