2000 character limit reached
Construction of Twice Differentiable Functions with Continuous Laplacian and Bounded Hessian (2210.10099v2)
Published 18 Oct 2022 in math.AP and math.CV
Abstract: We construct examples of twice differentiable functions in $\mathbb{R}n$ with continuous Laplacian and bounded Hessian. The same construction is also applicable to higher order differentiability, the Monge-Amp`ere equation, and mean curvature equation for hypersurfaces.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.