English

The Talenti comparison result in a quantitative form

Analysis of PDEs 2024-01-29 v2

Abstract

In this paper, we obtain a quantitative version of the classical comparison result of Talenti for elliptic problems with Dirichlet boundary conditions. The key role is played by quantitative versions of the P\'olya-Szego inequality and of the Hardy-Littlewood inequality.

Keywords

Cite

@article{arxiv.2311.18617,
  title  = {The Talenti comparison result in a quantitative form},
  author = {Vincenzo Amato and Rosa Barbato and Alba Lia Masiello and Gloria Paoli},
  journal= {arXiv preprint arXiv:2311.18617},
  year   = {2024}
}
R2 v1 2026-06-28T13:37:04.802Z