Davide Zucco

collaborators

8 papers

math.OC2019

Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues

Paolo Tilli, Davide Zucco

We study the optimal partitioning of a (possibly unbounded) interval of the real line into $n$ subintervals in order to minimize the maximum of certain set-functions, under rather…

math.AP2018

Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case

Davide Zucco

We investigate the dependence of optimal constants in Poincaré- Sobolev inequalities of planar domains on the region where the Dirichlet condition is imposed. More precisely, we lo…

math.AP2018

Upscaling of screw dislocations with increasing tangential strain

Ilaria Lucardesi, Marco Morandotti, Riccardo Scala +1

The upscaling of a system of screw dislocations in a material subject to an external strain is studied. The $Γ$ -limit of a suitable rescaling of the renormalized energy is characte…

math.AP2018

Strichartz Estimates for the Schrödinger Equation

Elena Cordero, Davide Zucco

The objective of this paper is to report on recent progress on Strichartz estimates for the Schrödinger equation and to present the state-of-the-art. These estimates have been obta…

math.OC2018

Spectral partitions for Sturm-Liouville problems

Paolo Tilli, Davide Zucco

We look for best partitions of the unit interval that minimize certain functionals defined in terms of the eigenvalues of Sturm-Liouville problems. Via Γ-convergence theory, we stu…

math.AP2018

Transmission conditions obtained by homogenisation

Gianni Dal Maso, Giovanni Franzina, Davide Zucco

Given a bounded open set in $R^{n}$ , $n \geq 2$ , and a sequence $(K_{j})$ of compact sets converging to an $(n - 1)$ -dimensional manifold $M$ , we study the asymptotic behaviour of…