Slope estimate and boundary differentiability for inhomogeneous infinity Laplace equation on convex domains

DOI10.1016/J.NA.2018.06.003zbMath1404.35148OpenAlexW2811166052WikidataQ129648383 ScholiaQ129648383MaRDI QIDQ1791714

Xiaomeng Feng, Guanghao Hong

Publication date: 11 October 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.06.003

zbMATH Keywords

Dirichlet problembounded convex domaininfinity Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

Related Items (3)

Pointwise boundary differentiability for the infinity Laplace equations ⋮ Superposition principle on the viscosity solutions of infinity Laplace equations ⋮ Magnetic resonance images denoising using a wavelet solution to Laplace equation associated with a new variational model

Cites Work

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• Counterexample to \(C^1\) boundary regularity of infinity harmonic functions
• Inhomogeneous infinity Laplace equation
• Extension of functions satisfying Lipschitz conditions
• Characterization of stadium-like domains via boundary value problems for the infinity Laplacian
• Boundary differentiability of infinity harmonic functions
• On the regularity of solutions of the inhomogeneous infinity Laplace equation
• Optimal Lipschitz extensions and the infinity Laplacian

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