Example of an ∞-harmonic function which is not C2 on a dense subset

Hayk Mikayelyan

Example of an ∞-harmonic function which is not C² on a dense subset

Research output: Journal Publication › Article › peer-review

Abstract

We show that for certain boundary values, McShane-Whitney's minimal-extension-like function is ∞-harmonic near the boundary and is not C² on a dense subset.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Electronic Journal of Differential Equations
Volume	2005
Publication status	Published - 5 Feb 2005
Externally published	Yes

Keywords

Infinity-laplacian

ASJC Scopus subject areas

Analysis

Cite this

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title = "Example of an ∞-harmonic function which is not C2 on a dense subset",

abstract = "We show that for certain boundary values, McShane-Whitney's minimal-extension-like function is ∞-harmonic near the boundary and is not C2 on a dense subset.",

keywords = "Infinity-laplacian",

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Example of an ∞-harmonic function which is not C² on a dense subset

Abstract

Keywords

ASJC Scopus subject areas

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