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20162025
most citedThe Soap Bubble Theorem and Serrin's problem: quantitative symmetry

4 citations · 13 across the 13 of their papers we have counts for

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Showing 2021 · math.APShow all

5 papers · 2 filters

math.AP2021

Symmetry and quantitative stability for the parallel surface fractional torsion problem

Giulio Ciraolo, Serena Dipierro, Giorgio Poggesi +2

We study symmetry and quantitative approximate symmetry for an overdetermined problem involving the fractional torsion problem in a bounded domain . More prec…

math.AP2021

Interpolating estimates with applications to some quantitative symmetry results

Rolando Magnanini, Giorgio Poggesi

We prove interpolating estimates providing a bound for the oscillation of a function in terms of two norms of its gradient. They are based on a pointwise bound of a function…

math.AP2021

Quantitative stability estimates for a two-phase Serrin-type overdetermined problem

Lorenzo Cavallina, Giorgio Poggesi, Toshiaki Yachimura

In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In parti…

math.AP2021

Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities

Serena Dipierro, Giorgio Poggesi, Enrico Valdinoci

We prove radial symmetry for bounded nonnegative solutions of a weighted anisotropic problem. Given the anisotropic setting that we deal with, the term "radial" is understood in th…

math.AP2021★ 4 cited

A quantitative rigidity result for a two-dimensional Frenkel-Kontorova model

Serena Dipierro, Giorgio Poggesi, Enrico Valdinoci

We consider a Frenkel-Kontorova system of harmonic oscillators in a two-dimensional Euclidean lattice and we obtain a quantitative estimate on the angular function of the equilibri…