Louis Dupaigne

Louis Dupaigne is a Professor of Mathematics at the Camille Jordan Institute (ICJ) and the Claude Bernard Lyon 1 University. His research focuses on nonlinear analysis and partial differential equations (PDEs) of elliptic type, with a particular emphasis on semilinear elliptic equations, Lane-Emden systems, and singular solutions. He has authored a book on PDEs accessible to M2 students.

Dupaigne actively contributes to mathematical research, with recent publications addressing topics such as Liouville-type theorems, nonlocal equations, and conformal geometric inequalities. His work often involves collaboration with researchers like Alberto Farina, Juan Dávila, and Ivan Gentil, covering areas from fractional Laplacians to anisotropic media in singular elliptic equations.

He supervises doctoral students, including Francesco Pagliarin, and has mentored former students such as Troy Pettit and Simon Zugmeyer. Dupaigne co-organizes the Optimal Functional Inequalities working group and participates in scientific outreach through the laboratory's public dissemination activities. His teaching includes courses on climate transitions, applied analysis, and complex analysis.