On a question of D. Serre
- Resource Type
- Authors
- Luigi De Rosa; Riccardo Tione
- Source
- Subject
- Hessian matrix
Pure mathematics
Control and Optimization
010102 general mathematics
01 natural sciences
Functional Analysis (math.FA)
Negative - answer
Mathematics - Functional Analysis
Computational Mathematics
symbols.namesake
Mathematics - Analysis of PDEs
Control and Systems Engineering
0103 physical sciences
Poincaré conjecture
symbols
FOS: Mathematics
010307 mathematical physics
0101 mathematics
Convex function
Non lineaire
Mathematics
Analysis of PDEs (math.AP)
- Language
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.
Comment: 10 pages; corrected typos from the first version