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20222024
most citedSoap bubbles and convex cones: optimal quantitative rigidity

3 citations · 4 across the 5 of their papers we have counts for

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math.AP2024

A quantitative Gidas-Ni-Nirenberg-type result for the -Laplacian via integral identities

Serena Dipierro, João Gonçalves da Silva, Giorgio Poggesi +1

We prove a quantitative version of a Gidas-Ni-Nirenberg-type symmetry result involving the -Laplacian. Quantitative stability is achieved here via integral identities based on t…

math.AP2023

Optimal quantitative stability for a Serrin-type problem in convex cones

Filomena Pacella, Giorgio Poggesi, Alberto Roncoroni

We consider a Serrin-type problem in convex cones in the Euclidean space and motivated by recent rigidity results we study the quantitative stability issue for this problem. In par…

math.AP2023

Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents

Serena Dipierro, Giorgio Poggesi, Jack Thompson +1

In this article, we analyze the stability of the parallel surface problem for semilinear equations driven by the fractional Laplacian. We prove a quantitative stability result that…

math.AP20231 cited

Remarks about the mean value property and some weighted Poincaré-type inequalities

Giorgio Poggesi

We start providing a quantitative stability theorem for the rigidity of an overdetermined problem involving harmonic functions in a punctured domain. Our approach is inspired by an…

math.AP20223 cited

Soap bubbles and convex cones: optimal quantitative rigidity

Giorgio Poggesi

We consider a class of rigidity results in a convex cone . These include overdetermined Serrin-type problems for a mixed boundary value problem relative to…