4 papers
Local Lipschitz continuity for energy integrals with fast growth and lower order terms
Andrea Torricelli
We consider integral functionals with fast growth and the lagrangian explicitly depending on . We prove that the local minimizers are locally Lipschitz continuous.
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…
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…
Homogenization of non-local integral functionals via two-scale Young measures
Giacomo Bertazzoni, Andrea Torricelli, Elvira Zappale
We prove a homogenization result in terms of two-scale Young measures for non-local integral functionals. The result is obtained by means of a characterization of two-scale Young m…