2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73427We show that for certain boundary values McShane-Whitney's minimal-extension-like function is $\infty$-harmonic near the boundary and is not $C^2$ on a dense subset.5 pages, 1 figureAnalysis of PDEsClassical Analysis and ODEs35B65, 35J70, 26B05An example of $\infty$-harmonic function, which is not $C^2$ on a dense subsettext