Homogenization of a semilinear elliptic problem
Analysis of PDEs
2025-09-30 v1
Abstract
We consider the homogenization of a semilinear elliptic equation where the coefficients of the second-order differential operator may be discontinuous. We establish the existence and uniqueness of the fine-scale solution, followed by an a priori estimate. The homogenized equation is derived using two-scale convergence, and a corrector result is also provided
Cite
@article{arxiv.2509.22859,
title = {Homogenization of a semilinear elliptic problem},
author = {Thuyen Dang and Yuliya Gorb and Silvia Jiménez Bolaños},
journal= {arXiv preprint arXiv:2509.22859},
year = {2025}
}