On the regularity of solutions of the inhomogeneous infinity Laplace equation

DOI10.1090/S0002-9939-2013-12180-5zbMath1287.35025OpenAlexW2086725213MaRDI QIDQ2862190

Erik Lindgren

Publication date: 14 November 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-12180-5

zbMATH Keywords

regularityblow-upinhomogeneous infinity Laplace equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44)

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Cites Work

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• \(C^1\) regularity for infinity harmonic functions in two dimensions
• Everywhere differentiability of infinity harmonic functions
• \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
• A homogeneity improvement approach to the obstacle problem
• Inhomogeneous infinity Laplace equation
• Extension of functions satisfying Lipschitz conditions
• Tug-of-war and the infinity Laplacian
• User’s guide to viscosity solutions of second order partial differential equations
• An axiomatic approach to image interpolation
• A tour of the theory of absolutely minimizing functions
• Optimal Lipschitz extensions and the infinity Laplacian

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