3 papers
math.OC2026
An existence result for a quantitative isoperimetric inequality in involving the Hausdorff asymmetry
Silvio Bove, Gisella Croce, Giovanni Pisante
We study the existence of an optimizer for a quantitative isoperimetric ratio in involving the Hausdorff asymmetry. We prove that att…
math.OC2025
Optimal sets for the quantitative isoperimetric inequality in the plane with the barycentric distance
Gisella Croce, Antoine Henrot
In a recent paper, C. Gambicchia and A. Pratelli proved a quantitative isoperimetric inequality involving the isoperimetric deficit and the barycentric distance f…
math.OC2025
Shape of extremal functions for weighted Sobolev-type inequalities
Friedemann Brock, Francesco Chiacchio, Gisella Croce +1
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are powers of |x|. In particular, we detect situations when the extremal functions…