New boundary Harnack inequalities with right hand side

DOI10.1016/j.jde.2021.04.012zbMath1465.35080arXiv2010.01064OpenAlexW3153451340MaRDI QIDQ831089

Damià Torres-Latorre, Xavier Ros-Oton

Publication date: 10 May 2021

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

Full work available at URL: https://arxiv.org/abs/2010.01064

zbMATH Keywords

free boundary regularitybounded measurable coefficientsfully nonlinear obstacle problemfully nonlinear thin obstacle problemnon-divergence form operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (9)

Nonlocal Harnack inequalities in the Heisenberg group ⋮ Regularity of free boundaries in obstacle problems ⋮ Graphical solutions to one-phase free boundary problems ⋮ An inhomogeneous version of the Carleson estimate for singular/degenerate nonlinear equations ⋮ On higher order boundary Harnack and analyticity of free boundaries ⋮ Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form ⋮ The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system

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