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math.OC2021
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…
math.OC2021
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…