Matteo Perugini

collaborators

3 papers

math.AP2026

Rigidity for the PÃ³lya-SzegÃ¶ inequality under circular rearrangement

F. Cagnetti, G. Domazakis, M. Perugini +1

A PÃ³lya-SzegÃ¶ inequality for the circular rearrangement is proven, under general assumptions. In addition, sufficient conditions are given, under which all the extremals of the i…

math.AP2024

Minimally singular functions and the rigidity problem for Steiner's perimeter inequality

Matteo Perugini

Let $n \geq 1$ , and let $I^c ◯ \subset R^{n}$ be an open and connected set with finite Lebesgue measure. Among functions of bounded variation in $I^c ◯$ we introduce the class of \e…

math.AP2024

A quantitative version of the Gidas-Ni-Nirenberg Theorem

Giulio Ciraolo, Matteo Cozzi, Matteo Perugini +1

A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations $- I^ u = f (u)$ in a ball vanishing at the boundary must be radial and…