25 citations · 127 across the 25 of their papers we have counts for
33 papers
On Poincaré constants related to isoperimetric problems in convex bodies
Dorin Bucur, Ilaria Fragalà
For any convex set , we provide a lower bound for the inverse of the Poincaré constant in : it refines an inequality in terms of the diamete…
A sharp quantitative nonlinear Poincaré inequality on convex domains
Vincenzo Amato, Dorin Bucur, Ilaria Fragalà
For any , we give a new inequality for the first nontrivial Neumann eigenvalue of the -Laplacian on a convex domain wi…
The geometric size of the fundamental gap
Vincenzo Amato, Dorin Bucur, Ilaria Fragalà
The fundamental gap conjecture proved by Andrews and Clutterbuck in 2011 provides the sharp lower bound for the difference between the first two Dirichlet Laplacian eigenvalues in…
Variational worn stones
Graziano Crasta, Ilaria Fragalà
We introduce an evolution model à la Firey for a convex stone which tumbles on a beach and undertakes an erosion process depending on some variational energy, such as torsional rig…
The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities
Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà
Given a non-increasing and radially symmetric kernel in , we investigate counterparts of the classical Hardy-Littlewood and Riesz inequa…
On a geometric combination of functions related to Prékopa-Leindler inequality
Graziano Crasta, Ilaria Fragalà
We introduce a new operation between nonnegative integrable functions on , that we call geometric combination; it is obtained via a mass transportation approach, pla…