11 citations
- CEA Paris-SaclayFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1 paper
- CY Cergy Paris UniversitéFR1 paper
- Institut de Physique et Chimie des Matériaux de StrasbourgFR1 paper
- Laboratoire de Mathématiques d'OrsayFR1 paper
- Max Planck Institute for the Physics of Complex SystemsDE1 paper
- Service de Physique de l'État CondenséFR1 paper
- Théorie Économique, Modélisation et ApplicationsFR1 paper
5 papers
Critical Elliptic Systems in Potential Form
Emmanuel Hebey
We discuss critical elliptic systems in potential form. We prove existence, multiplicity, and compactness of solutions.
Interacting electron systems between Fermi leads: effective one-body transmissions and correlation clouds
Rafael A. Molina, Dietmar Weinmann, Jean-Louis Pichard
In order to extend the Landauer formulation of quantum transport to correlated fermions, we consider a spinless system in which charge carriers interact, connected to two reservoir…
Large time behavior of heat kernels on forms
Thierry Coulhon, Qi S. Zhang
We derive large time upper bounds for heat kernels on vector bundles of differential forms on a class of non-compact Riemannian manifolds under certain curvature conditions.
Asymptotic isoperimetry of balls in metric measure spaces
R. Tessera
In this paper, we study the asymptotic behavior of the volume of spheres in metric measure spaces. We first introduce a general setting adapted to the study of asymptotic isoperime…
Riesz transform on manifolds and Poincaré inequalities
Pascal Auscher, Thierry Coulhon
We study the validity of the inequality for the Riesz transform when and of its reverse inequality when on complete Riemannian manifolds under the doubling proper…