Calculus of Variations and Geometric Measure Theory

L. De Rosa - R. Tione

On a question of D. Serre

created by tione on 28 Nov 2020
modified on 10 Dec 2020


Published Paper

Inserted: 28 nov 2020
Last Updated: 10 dec 2020

Journal: ESAIM: COCV
Volume: 26
Number: 97
Year: 2020

ArXiv: 1903.06583 PDF


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.