Atelier des doctorants du Mardi 22/10/2019

Quasilinear Elliptic Problems in a Domain with Imperfect Interface and $L^1$ data

Mardi 22 octobre 2019, 14:00 à 15:00

Salle des séminaires

Rheadel Fulgencio

Rheadel est la doctorante d'Olivier Guibé.

The aim of this talk is to present the existence results for a class of quasilinear elliptic problems in a two-component domain and $L^1$ data. I will first give the necessary definitions and assumptions, including the definition of a renormalized solution. I will then discuss the sketch of the proof of the existence of a renormalized solution.
Our main goal is to perform the homogenization process to this class of equations, so I will also present a very brief introduction to the theory of homogenization.