- Institut Camille JordanFR9 papers
- Laboratoire Amiénois de Mathématique Fondamentale et AppliquéeFR2 papers
- Lyon 1 UniversitéFR2 papers
- Université de Picardie Jules VerneFR2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- International Center for Transitional JusticeUS1 paper
- Politecnico di MilanoIT1 paper
- University College DublinIE1 paper
- University of KairouanTN1 paper
- University of WrocławPL1 paper
9 papers
Existence of extremal functions in higher-order affine Sobolev inequalities
Tristan Bullion-Gauthier
In this article, we prove the existence of extremal functions in higher-order affine Sobolev inequalities. Proofs rely on concentration-compactness methods in spaces of integer or…
Kakeya conjecture and High-Rank Lattice von Neumann algebras
Mikael de la Salle
If the non-commutative L p space of SLn(Z) has the completely bounded approximation property for some non-trivial value of p, then some form of the Kakeya conjecture holds in dimen…
Higher-order affine Sobolev inequalities
Tristan Bullion-Gauthier
Zhang refined the classical Sobolev inequality , where , by replacing with a smaller quantit…
Using Sinkhorn in the JKO scheme adds linear diffusion
Aymeric Baradat, Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme is a time-discrete scheme of implicit Euler type that allows to construct weak solutions of evolution PDEs which have a Wasserstein gradient structure. The purpose o…
Asymptotically homogeneous solutions of the supercritical Lane-Emden system
Louis Dupaigne, Hatem Hajlaoui, Marius Ghergu
We consider the Lane-Emden system-u = |v| p-1 v,-v = |u| q-1 u in R d. When p q 1, it is known that there exists a positive radial stable solution (u, v) C…
Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
Lorenzo Brandolese, Grzegorz Karch
The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant unde…