@Article{ATA-40-3,
author = {Yifei, Pan and Yu, Yan},
title = {Examples of Twice Differentiable Functions with Continuous Laplacian and Bounded Discontinuous Hessian},
journal = {Analysis in Theory and Applications},
year = {2024},
volume = {40},
number = {3},
pages = {311--334},
abstract = {<p style="text-align: justify;">We construct examples of twice differentiable functions in $\mathbb{R}^n$ with continuous Laplacian and bounded discontinuous Hessian. The same construction is also applicable to higher order differentiability, the Monge-Ampère equation, and the mean curvature equation for hypersurfaces.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2024-0017},
url = {https://global-sci.com/article/91312/examples-of-twice-differentiable-functions-with-continuous-laplacian-and-bounded-discontinuous-hessian}
}