A. Roncoroni

activity

20182026

most citedUniqueness in weighted Lebesgue spaces for an elliptic equation with drift on manifolds

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

Serrin's type problems in warped product manifolds

Alberto Farina, Alberto Roncoroni

In this paper we consider Serrin's overdetermined problems in warped product manifolds and we prove Serrin's type rigidity results by using the P-function approach introduced by We…

math.AP2019

Symmetry results for critical anisotropic $p$ -Laplacian equations in convex cones

Giulio Ciraolo, Alessio Figalli, Alberto Roncoroni

Given $n \geq 2$ and $1 < p < n$ , we consider the critical $p$ -Laplacian equation $Δ_{p} u + u^{p^{*} - 1} = 0$ , which corresponds to critical points of the Sobolev inequality. Exploiting the…

math.DG2019

On the umbilic set of immersed surfaces in three-dimensional space forms

Giovanni Catino, Alberto Roncoroni, Luigi Vezzoni

We prove that under some assumptions on the mean curvature the set of umbilical points of an immersed surface in a $3$ -dimensional space form has positive measure. In case of an im…

Serrin's type problems in warped product manifolds

Symmetry results for critical anisotropic p-Laplacian equations in convex cones

On the umbilic set of immersed surfaces in three-dimensional space forms

Symmetry results for critical anisotropic $p$ -Laplacian equations in convex cones