The Talenti comparison result in a quantitative form

The Talenti comparison result in a quantitative form

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.

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Hauptverfasser: Amato, Vincenzo, Barbato, Rosa, Masiello, Alba Lia, Paoli, Gloria
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
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Zusammenfassung: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.
DOI:10.48550/arxiv.2311.18617