Special Session 95: Nonlinear analysis and elliptic boundary value problems

Homogenization of a variable exponent problem
Maria-Magdalena Boureanu
University of Craiova, Romania
Romania
Co-Author(s):    Renata Bunoiu; Claudia Timofte
Abstract:
We are concerned with periodic strongly oscillating variable exponent problems involving Leray-Lions type operators. We first show that the problem under study is uniquely solvable and we establish \emph{a priori} estimates. Using a suitable convergence setting, we then provide the homogenization result. This talk is based on a joint work with Renata Bunoiu and Claudia Timofte.