8 citations
- Université Paris CitéFR19 papers
- Sorbonne UniversitéFR15 papers
- Centre National de la Recherche ScientifiqueFR9 papers
- Paris-Est SupFR4 papers
- Sorbonne Paris CitéFR4 papers
- Université Paris-Est CréteilFR4 papers
- Département de mathématiques et applicationsFR2 papers
- Institut de Recherche Mathématique AvancéeFR2 papers
- Sapienza University of RomeIT2 papers
- Analyse, Géométrie et ModélisationFR1 paper
- Courant Institute of Mathematical SciencesUS1 paper
- École Normale Supérieure - PSLFR1 paper
6 papers · 1 filter
Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry
Hector Bouton, Laurent Desvillettes, Helge Dietert
We present in this work a very short proof for the existence, uniqueness and smoothness in dimensions of the system of reaction diffusion $ \partial\_t a\_i - d\_i Îa\_i…
Nonlinear Kinetic Diffusion Equations with -Growth
Helge Dietert, Lukas Niebel, Rico Zacher
We establish the local boundedness of (sub-)solutions to nonlinear kinetic diffusion equations with -growth, where the kinetic p-Laplace equation is a prototypical example. A ke…
Sharp quantitative Talenti's inequality in particular cases
Paolo Acampora, Jimmy Lamboley
In this paper, we focus on the famous Talenti's symmetrization inequality, more precisely its corollary asserting that the -norm of the solution to is hi…
Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system
Hector Bouton
We consider the fast-reaction approximation to the triangular Shigesada-Kawasaki-Teramoto model on a bounded domain in the physical dimension . We provide explicit converge…
Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem
Tobias König, Paul Laurain
For a bounded set and a perturbation , we analyze the concentration behavior of a blow-up sequence of positive solutions to \[ -Îu_…
Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions
Tobias König, Paul Laurain
For a smooth bounded domain and smooth functions and , we consider the asymptotic behavior of a sequence of positive solutions to $-Îu_ε+ (a…