34 citations · 62 across the 25 of their papers we have counts for
27 papers
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…
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 for…
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…
A note on existence of an optimal set for a bonnesen type quantitative isoperimetric ratio in the plane
Silvio Bove, Gisella Croce, Giovanni Pisante
In this note we prove the existence of a set , different from a ball, which minimizes, among the convex sets that satisfy a suitable interior cone condition…
A reverse isoperimetric inequality for planar (, )--convex bodies
Gisella Croce, Zakaria Fattah, Giovanni Pisante
In this paper, we study a reverse isoperimetric inequality for planar convex bodies whose radius of curvature is between two positive numbers 0 < < , called (, )--conv…
A Poincaré type inequality with three constraints
Gisella Croce, Antoine Henrot
In this paper, we consider a problem in calculus of variations motivated by a quantitative isoperimetric inequality in the plane. More precisely, the aim of this article is the com…