Mikayelyan, Hayk Example of an \(\infty\)-harmonic function which is not \(C^2\) on a dense subset. (English) Zbl 1129.35421 Electron. J. Differ. Equ. 2005, Paper No. 18, 5 p. (2005). Summary: We show that for certain boundary values, McShane-Whitney’s minimal-extension-like function is \(\infty\)-harmonic near the boundary and is not \(C2\) on a dense subset. MSC: 35J70 Degenerate elliptic equations 26B05 Continuity and differentiation questions 35B65 Smoothness and regularity of solutions to PDEs Keywords:Infinity-Laplacian PDFBibTeX XMLCite \textit{H. Mikayelyan}, Electron. J. Differ. Equ. 2005, Paper No. 18, 5 p. (2005; Zbl 1129.35421) Full Text: arXiv EuDML EMIS