Explicit singular viscosity solutions of the Aronsson equation
type: Item
instance of: scholarly article
title: Explicit singular viscosity solutions of the Aronsson equation
zbMATH Open document ID: 1230.35037
author: Nikos Katzourakis
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2011-12-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1012.5102
full work available at URL: http://hdl.handle.net/20.500.11824/477
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B08
zbMATH DE Number: 5986970
zbMATH Keywords: strict level convexity
MaRDI profile type: Publication
OpenAlex ID: W2087958278
arXiv ID: 1012.5102
cites work: Construction of singular solutions to the p-harmonic equation and its limit equation for \(p=\infty\)
cites work: The infinity Laplacian, Aronsson's equation and their generalizations
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Linearly approximatable functions
cites work: \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
cites work: Everywhere differentiability of infinity harmonic functions
cites work: Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers
cites work: A Hölder continuous nowhere improvable function with derivative singular distribution
cites work: \(C^1\) regularity for infinity harmonic functions in two dimensions
cites work: \(C^1\)-regularity of the Aronsson equation in \(\mathbb{R}^2\)
DOI: 10.1016/J.CRMA.2011.10.010
description: scientific article