11 citations · 22 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Variational methods for the selection of solutions to an implicit system of PDEs
Gisella Croce, Giovanni Pisante
We consider the vectorial system \[ \begin{cases} Du \in \mathcal{O}(2), & \mbox{a.e. in}\;Ω, u=0, & \mbox{on} \;\partial Ω, \end{cases} \] where is a subset of , $u:Ω\to…