The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations

DOI10.4171/AIHPC/40WikidataQ114021533 ScholiaQ114021533MaRDI QIDQ2693545

Dennis Kriventsov, Henrik Shahgholian, Mark G. Allen

Publication date: 21 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11854

zbMATH Keywords

nonlinear equations\(p\)-Laplace equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Boundary behavior and the Martin boundary problem for \(p\) harmonic functions in Lipschitz domains
• New boundary Harnack inequalities with right hand side
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• A new boundary Harnack principle (equations with right hand side)
• User’s guide to viscosity solutions of second order partial differential equations
• Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
• Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
• Boundary Harnack principle and Martin boundary for a uniform domain

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