6 papers · 1 filter
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…
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 -limit of a suitable rescaling of the renormalized energy is characte…
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…
Transmission conditions obtained by homogenisation
Gianni Dal Maso, Giovanni Franzina, Davide Zucco
Given a bounded open set in , , and a sequence of compact sets converging to an -dimensional manifold , we study the asymptotic behaviour of…
Asymptotics of the first Laplace eigenvalue with Dirichlet regions of prescribed length
Paolo Tilli, Davide Zucco
We consider the problem of maximizing the first eigenvalue of the -laplacian (possibly with non-constant coefficients) over a fixed domain , with Dirichlet conditions along $…
A Minimaxmax Problem for Improving the Torsional Stability of Rectangular Plates
Elvise Berchio, Davide Buoso, Filippo Gazzola +1
We use a gap function in order to compare the torsional performances of different reinforced plates under the action of external forces. Then, we address a shape optimization probl…