A quantitative version of the Hopf-Oleinik lemma for a quasilinear non-uniformly elliptic operator

DOI10.54330/AFM.146035zbMATH Open1542.3521MaRDI QIDQ6562492

Jefferson Abrantes Santos, Sérgio H. M. Soares, Diego R. Moreira

Publication date: 26 June 2024

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

zbMATH Keywords

Hopf-Oleinik lemmaquasilinear non-uniformly elliptic operators

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Elliptic equations with infinity-Laplacian (35J94)

Cites Work

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• Everywhere differentiability of infinity harmonic functions
• Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators
• The maximum principle
• Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients
• A strong maximum principle for some quasilinear elliptic equations
• Regularity for some scalar variational problems under general growth conditions
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Lipschitz Bounds and Nonuniform Ellipticity
• A Remark on Linear Elliptic Differential Equations of Second Order
• Sur le principe de \textit{Dirichlet}.
• Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form

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