Harnack Inequality for a Degenerate Elliptic Equation

DOI10.1080/03605302.2011.618210zbMath1260.35063OpenAlexW2077179606MaRDI QIDQ3106556

Federico Tournier, Cristian E. Gutiérrez

Publication date: 28 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2011.618210

zbMATH Keywords

Heisenberg groupHölder estimatessub-elliptic equations

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (9)

Harnack's inequality and applications of quasilinear degenerate elliptic equations with rough and singular coefficients ⋮ Harnack inequality for a subelliptic PDE in nondivergence form ⋮ Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form ⋮ Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group ⋮ Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions ⋮ Harnack’s inequality for a class of non-divergent equations in the Heisenberg group ⋮ Abstract approach to non homogeneous Harnack inequality in doubling quasi metric spaces ⋮ On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups ⋮ On the elliptic Harnack inequality

Cites Work

• Unnamed Item
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Covering theorems, inequalities on metric spaces and applications to PDE's
• Maximum and Comparison Principles for Convex Functions on the Heisenberg Group
• Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• The Monge-Ampère equation

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