3 papers
math.AP2026
A point-free theory of quantitative homogenization
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
We introduce a purely operator-theoretic framework for quantitative homogenization that bypasses the traditional reliance on large-scale spatial regularity and probabilistic assump…
math.AP2025
Homogenization of a semilinear elliptic problem
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
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 a…
math.AP2024
Homogenization of high-contrast dielectric elastomer composites
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous…