120 citations
- Centre National de la Recherche ScientifiqueFR12 papers
- Institut PprimeFR7 papers
- Laboratoire de Mathématiques et ApplicationsFR2 papers
- La Rochelle UniversitéFR2 papers
- Pennsylvania State UniversityUS2 papers
- Brandeis UniversityUS1 paper
- City University of Hong KongHK1 paper
- École Nationale Supérieure de Mécanique et d'AérotechniqueFR1 paper
- École PolytechniqueFR1 paper
- ETH ZurichCH1 paper
- Institut de recherche mathématique de RennesFR1 paper
- Institute of Materials for Electronics and MagnetismIT1 paper
8 papers · 1 filter
Extremal functions for the anisotropic Sobolev inequalities
Abdallah El Hamidi, J. M. Rakotoson
The existence of multiple nonnegative solutions to the anisotropic critical problem - \sum_{i=1}^{N} \frac{\partial}{\partial x_i} (| \frac{\partial u}{\partial x_i} |^{p_i-2} \fra…
Rescaled weighted random balls models and stable self-similar random fields
Jean-Christophe Breton, Clément Dombry
We consider weighted random balls in distributed according to a random Poisson measure with heavy-tailed intensity and study the asymptotic behaviour of the total weight…
The Sivashinsky equation for corrugated flames in the large-wrinkle limit
Guy Joulin, Bruno Denet
Sivashinsky's (1977) nonlinear integro-differential equation for the shape of corrugated 1-dimensional flames is ultimately reducible to a 2N-body problem, involving the 2N complex…
Singular fiber of the Mumford system and rational solutions to the KdV hierarchy
Rei Inoue, Pol Vanhaecke, Takao Yamazaki
We study the singular iso-level manifold of the genus Mumford system associated to the spectral curve . We show that is stratified by open…
Theoretical study of kinks on screw dislocation in silicon
Laurent Pizzagalli, Andreas Pedersen, Andri Arnaldsson +2
Theoretical calculations of the structure, formation and migration of kinks on a non-dissociated screw dislocation in silicon have been carried out using density functional theory…
Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature
Marc Arnaudon, Anton Thalmaier, Stefanie Ulsamer
The Liouville property of a complete Riemannian manifold (i.e., the question whether there exist non-trivial bounded harmonic functions) attracted a lot of attention. For Cartan-Ha…