An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint
A Arroyo-Rabasa - Proceedings of the American Mathematical Society, 2020 - ams.org
We give a simple criterion on the set of probability tangent measures $\operatorname
{Tan}(\mu, x) $ of a positive Radon measure $\mu $, which yields lower bounds on the …
{Tan}(\mu, x) $ of a positive Radon measure $\mu $, which yields lower bounds on the …
[HTML][HTML] On the upper semicontinuity of a quasiconcave functional
L De Rosa, D Serre, R Tione - Journal of Functional Analysis, 2020 - Elsevier
Abstract In the recent paper [21], the second author proved a divergence-quasiconcavity
inequality for the following functional D (A)=∫ T n det(A (x)) 1 n− 1 dx defined on the space …
inequality for the following functional D (A)=∫ T n det(A (x)) 1 n− 1 dx defined on the space …
On a question of D. Serre
L De Rosa, R Tione - ESAIM: Control, Optimisation and Calculus of …, 2020 - esaim-cocv.org
In this paper we give a negative answer to the question posed in D. Serre (Ann. Inst. Henri
Poincaré C Anal. Non linéaire 35 (2018) 1209–1234, Open Question 2.1) about possible …
Poincaré C Anal. Non linéaire 35 (2018) 1209–1234, Open Question 2.1) about possible …
[PDF][PDF] VECTORIAL PROBLEMS IN THE CALCULUS OF VARIATIONS AND FLUID DYNAMICS
C De Lellis, B Schlein, A Nikeghbali - math.ias.edu
In this thesis we collect problems that arise in different contexts: PDEs, Calculus of
Variations and Fluid Dynamics. We have sorted them in three groups, corresponding to …
Variations and Fluid Dynamics. We have sorted them in three groups, corresponding to …