The Harnack inequality for second-order elliptic equations with divergence-free drifts
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Publication:471964
DOI10.4310/CMS.2014.v12.n4.a4zbMath1308.35039MaRDI QIDQ471964
Mihaela Ignatova, Igor Kukavica, Leonid Ryzhik
Publication date: 18 November 2014
Published in: Communications in Mathematical Sciences (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Scalar elliptic equations with a singular drift ⋮ Regularity properties of passive scalars with rough divergence-free drifts ⋮ Liouville-type theorem for a nonlinear sub-elliptic system involving \(\Delta_{\lambda}\)-Laplacian and advection terms ⋮ Stability of entire solutions to supercritical elliptic problems involving advection ⋮ A Liouville type theorem for non-linear elliptic systems involving advection terms ⋮ Weak-type estimates and potential estimates for elliptic equations with drift terms ⋮ The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients ⋮ Existence, Uniqueness, and Regularity Results for Elliptic Equations with Drift Terms in Critical Weak Spaces ⋮ The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity ⋮ Regularity of solutions of quasi-linear elliptic equations with \(L \log^m L\) coefficients ⋮ On Weak Solutions of Elliptic Equations with Singular Drifts
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