Absolutely minimizing Lipschitz extensions and infinity harmonic functions on the Sierpinski gasket

DOI10.1016/j.na.2017.07.005zbMath1375.31011arXiv1608.03715OpenAlexW2964009915MaRDI QIDQ2402703

Fabio Camilli, Maria Agostina Vivaldi, Raffaela Capitanelli

Publication date: 13 September 2017

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

Full work available at URL: https://arxiv.org/abs/1608.03715

zbMATH Keywords

Lipschitz extensionSierpinski gasketinfinity Laplacianharmonic functions on pre-fractal sets

Mathematics Subject Classification ID

Fractals (28A80) Discrete potential theory (31C20)

Related Items (5)

Limit of \(p\)-Laplacian obstacle problems ⋮ From weak to strong convergence of the gradients for Finsler \(p\)-Laplacian problems as \(p \to \infty\) ⋮ NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS ⋮ Asymptotics for quasilinear obstacle problems in bad domains ⋮ ON MAX–MIN MEAN VALUE FORMULAS ON THE SIERPINSKI GASKET

Cites Work

• Eikonal equations on the Sierpinski gasket
• The average distance on the Sierpiński gasket
• Combinatorial games under auction play
• \(p\)-harmonic functions on graphs and manifolds
• \(p\)-energy and \(p\)-harmonic functions on Sierpinski gasket type fractals
• Nonlinear elliptic partial differential equations and \(p\)-harmonic functions on graphs.
• On absolutely minimizing Lipschitz extensions and PDE \(\bigtriangleup_{\infty}(u)=0\)
• Tug-of-war and the infinity Laplacian
• A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions
• A tour of the theory of absolutely minimizing functions
• A Visit with the ∞-Laplace Equation
• Equivalence of AMLE, strong AMLE, and comparison with cones in metric measure spaces
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