A short proof of boundary Harnack principle

DOI10.1016/j.jde.2020.02.004zbMath1439.35110arXiv1909.00062OpenAlexW3006987506MaRDI QIDQ2180553

Daniela De Silva, Ovidiu V. Savin

Publication date: 14 May 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00062

zbMATH Keywords

weak Harnack inequalityunified approach

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Boundary value problems for second-order elliptic systems (35J57)

Related Items (13)

New boundary Harnack inequalities with right hand side ⋮ On the boundary Harnack principle in Hölder domains ⋮ The normal derivative lemma and surrounding issues ⋮ Graphical solutions to one-phase free boundary problems ⋮ Regularity theory for fully nonlinear parabolic obstacle problems ⋮ Boundary pointwise regularity and applications to the regularity of free boundaries ⋮ Stability of Edelen-Wang's Bernstein type theorem for the minimal surface equation ⋮ On higher order boundary Harnack and analyticity of free boundaries ⋮ Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations ⋮ Size of the zero set of solutions of elliptic PDEs near the boundary of Lipschitz domains with small Lipschitz constant ⋮ Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form ⋮ The thin obstacle problem: a survey ⋮ Boundary Harnack principle on nodal domains

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