3 papers
math.AP2023
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 in a ball vanishing at the boundary must be radial and…
math.AP2022
Quantitative results for fractional overdetermined problems in exterior and annular sets
Giulio Ciraolo, Luigi Pollastro
We consider overdetermined problems related to the fractional capacity. In particular we study -harmonic functions defined in unbounded exterior sets or in bounded annular sets,…
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…