On the behaviour of \(\infty\)-harmonic functions near isolated points

DOI10.1016/j.na.2004.02.028zbMath1053.31003OpenAlexW1980185542MaRDI QIDQ1879767

Tilak Bhattacharya

Publication date: 23 September 2004

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.2004.02.028

zbMATH Keywords

harmonic functionsviscosity solutionsisolated points

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (6)

Solutions of Aronsson equation near isolated points ⋮ A Hölder continuous nowhere improvable function with derivative singular distribution ⋮ Various Properties of Solutions of the Infinity-Laplacian Equation ⋮ A boundary Harnack principle for infinity-Laplacian and some related results ⋮ Solutions to an inhomogeneous equation involving Aronsson operator ⋮ Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
• On certain singular solutions of the partial differential equation \(u^ 2_ xu_{xx}+2u_ xu_ yu_{xy}+u^ 2_ yu_{yy}=0\)
• Singular solutions of the \(p\)-Laplace equation
• Construction of singular solutions to the p-harmonic equation and its limit equation for \(p=\infty\)
• EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
• Isolated Singularities of p-Harmonic Functions in the Plane
• User’s guide to viscosity solutions of second order partial differential equations
• Optimal Lipschitz extensions and the infinity Laplacian

This page was built for publication: On the behaviour of \(\infty\)-harmonic functions near isolated points