Special Session 93: Local and nonlocal elliptic boundary value problems

On the homogenization of a class of variable exponent problems
Maria-Magdalena Boureanu
University of Craiova
Romania
Co-Author(s):    Renata Bunoiu, Claudia Timofte
Abstract:
We study periodic strongly oscillating variable exponent problems driven by Leray-Lions type operators. We first prove that the problem under consideration admits a unique weak solution and establish a priori estimates. Then, using an appropriate convergence framework, we derive the homogenization result. This talk is based on a joint work with Renata Bunoiu and Claudia Timofte, carried out within Project 27 of the IRN ECO-Math program, Mathematics with Eastern and Central Europe (IMAR, Romania -- CNRS, France).