Examples of Twice Differentiable Functions with Continuous Laplacian and Bounded Discontinuous Hessian
Year: 2024
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 3 : pp. 311–334
Abstract
We construct examples of twice differentiable functions in Rn 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2024-0017
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 3 : pp. 311–334
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Twice differentiable continuous Laplacian bounded Hessian.
Author Details
Yifei Pan Email
Yu Yan Email