The boundary Harnack inequality for infinity harmonic functions in Lipschitz domains satisfying the interior ball condition

DOI10.1016/J.NA.2007.07.035zbMath1158.35047OpenAlexW2038111093WikidataQ109406489 ScholiaQ109406489MaRDI QIDQ944756

Petri Juutinen

Publication date: 10 September 2008

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.2007.07.035

zbMATH Keywords

boundary Harnack inequalityinfinity harmonic functionscomparison with cones

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) A priori estimates in context of PDEs (35B45)

Related Items (4)

BOUNDARY BLOW-UP SOLUTIONS TO EQUATIONS INVOLVING THE INFINITY LAPLACIAN ⋮ The second order expansion of boundary blow-up solutions for infinity-Laplacian equations ⋮ Separable infinity harmonic functions in cones ⋮ The exact asymptotic behavior of boundary blow-up solutions to infinity Laplacian equations

Cites Work

• Unnamed Item
• Unnamed Item
• Quasiminima of the Lipschitz extension problem
• Extension of functions satisfying Lipschitz conditions
• A tour of the theory of absolutely minimizing functions
• The infinity Laplacian, Aronsson's equation and their generalizations
• The boundary Harnack inequality for infinity harmonic functions in the plane
• Optimal Lipschitz extensions and the infinity Laplacian

This page was built for publication: The boundary Harnack inequality for infinity harmonic functions in Lipschitz domains satisfying the interior ball condition