On a question of D. Serre
Analysis of PDEs
2022-08-24 v2 Functional Analysis
Abstract
In this paper we give a negative answer to the question posed in [15, Open Question 2.1] about possible gains of integrability of determinants of divergence-free, non-negative definite matrix-fields. We also analyze the case in which the matrix-field is given by the Hessian of a convex function.
Keywords
Cite
@article{arxiv.1903.06583,
title = {On a question of D. Serre},
author = {Luigi De Rosa and Riccardo Tione},
journal= {arXiv preprint arXiv:1903.06583},
year = {2022}
}
Comments
10 pages; corrected typos from the first version