8 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…
Gradient regularity for a class of elliptic obstacle problems
Raffaella Giova, Antonio Giuseppe Grimaldi, Andrea Torricelli
We prove some regularity results for a priori bounded local minimizers of non-autonomous integral functionals of the form under the constraint…
Monotone approximation of differentiable convex functions with applications to general minimization problems
Petteri Harjulehto, Peter Hästö, Andrea Torricelli
We study minimizers of non-autonomous energies with minimal growth and coercivity assumptions on the energy. We show that the minimizer is nevertheless the solution of the relevant…
Relaxation of one-dimensional nonlocal supremal functionals in the Sobolev setting
Andrea Torricelli, Elvira Zappale
We provide necessary and sufficient conditions on the density in order to ensure the sequential weak* lower semicontinuity of the func…
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth
Samuele Riccò, Andrea Torricelli
Let us consider the autonomous obstacle problem \begin{equation*} \min_v \int_ΩF(Dv(x)) \, dx \end{equation*} on a specific class of admissible functions, where we suppose the Lagr…