An example of $\infty$-harmonic function, which is not $C^2$ on a dense subset
Analysis of PDEs
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We show that for certain boundary values McShane-Whitney's minimal-extension-like function is -harmonic near the boundary and is not on a dense subset.
Keywords
Cite
@article{arxiv.math/0411659,
title = {An example of $\infty$-harmonic function, which is not $C^2$ on a dense subset},
author = {Hayk Mikayelyan},
journal= {arXiv preprint arXiv:math/0411659},
year = {2007}
}
Comments
5 pages, 1 figure