3 papers
math.AP2025
Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space
Luca Lussardi, Andrea Torricelli, Elvira Zappale
We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is…
math.AP2025
Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces
Michela Eleuteri, Luca Lussardi, Andrea Torricelli +1
We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove th…
math.DG2024
Einstein warped-product manifolds and the screened Poisson equation
Alexander Pigazzini, Luca Lussardi, Magdalena Toda +1
We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumpt…