English

On the classical Reinforcement problem and Optimisation

Analysis of PDEs 2026-02-20 v1

Abstract

In the present survey, we consider the classical reinforcement problem for elliptic boundary value problems originally studied by Sanchez-Palencia in 1969. We focus on the seminar papers by Brezis, Caffarelli, & Friedman, and by Acerbi & Buttazzo, and discuss the related optimisation problems proposed by Friedman and by Buttazzo.

Cite

@article{arxiv.2602.17331,
  title  = {On the classical Reinforcement problem and Optimisation},
  author = {Emanuele Cristoforoni and Carlo Nitsch and Cristina Trombetti},
  journal= {arXiv preprint arXiv:2602.17331},
  year   = {2026}
}
R2 v1 2026-07-01T10:42:51.364Z