2 papers
math.DG2025
Almost prescribing scalar curvature by mixed convex integration
Fatine Aliouane, Ludovic Rifford, Mélanie Theillière
We introduce a method of mixed convex integration and demonstrate its suitability for solving a particular class of semilinear second-order partial differential relations. As an ap…
math.CA2019
A perturbed time-dependent second-order sweeping process
Fatine Aliouane, Dalila Azzam-Laouir
In this paper we prove the existence of solutions for a second order sweeping process with a Lipschitz single valued perturbation by transforming it to a first order problem.