A subelliptic analogue of Aronson-Serrin's Harnack inequality

DOI10.1007/s00208-013-0937-yzbMath1282.35204arXiv1109.4596OpenAlexW2058581493MaRDI QIDQ378830

Luca Capogna, Garrett Rea, Giovanna Citti

Publication date: 12 November 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4596

zbMATH Keywords

Poincaré inequalitiesquasilinear operatorsdoubling propertiesstabilty with respret to the metrics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Subelliptic equations (35H20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Quasilinear parabolic equations (35K59)

Related Items (14)

Riemannian approximation in Carnot groups ⋮ Regularity for subelliptic PDE through uniform estimates in multi-scale geometries ⋮ Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group ⋮ Regularity of quasi-linear equations with Hörmander vector fields of step two ⋮ Regularity for $p$-Harmonic Functions in the Grušin Plane ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ \(C^{1, \alpha}\)-regularity of quasilinear equations on the Heisenberg group ⋮ On the Harnack inequality for parabolic minimizers in metric measure spaces ⋮ Harnack estimates for degenerate parabolic equations modeled on the subelliptic \(p\)-Laplacian ⋮ Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups ⋮ Regularity of mean curvature flow of graphs on Lie groups free up to step 2 ⋮ Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds ⋮ Non coercive unbounded first order mean field games: the Heisenberg example ⋮ Schauder estimates at the boundary for sub-Laplacians in Carnot groups

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