The Talenti comparison result in a quantitative form

Published 30 Nov 2023 in math.AP | (2311.18617v2)

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.

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