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arXiv · 1903.06583

On a question of D. Serre

Luigi De Rosa·Riccardo Tione
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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.

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Luigi De Rosa, Riccardo Tione. 2019-03-15. On a question of D. Serre. https://arxiv.org/abs/1903.06583

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