On the best Lipschitz extension problem for a discrete distance and the discrete \(\infty \)-Laplacian

DOI10.1016/j.matpur.2011.09.003zbMath1231.49003OpenAlexW1964041556MaRDI QIDQ662019

Juan-Miguel Gracia

Publication date: 11 February 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2011.09.003

zbMATH Keywords

Lipschitz extensioninfinity Laplaciantug-of-war gamesnonlocal \(p\)-Laplacian problem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• A Nonlocalp-Laplacian Evolution Equation with Nonhomogeneous Dirichlet Boundary Conditions
• A PDE Perspective of the Normalized Infinity Laplacian
• Harmonious Extensions
• Absolutely minimal extensions of functions on metric spaces
• Extension of range of functions
• A tour of the theory of absolutely minimizing functions
• The infinity Laplacian, Aronsson's equation and their generalizations

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