Andrea Torricelli

activity

20232025

collaborators

3 papers

math.AP2025

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 $u$ . We prove that the local minimizers are locally Lipschitz continuous.

math.AP2024

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 $F (v, Ω) = \int_{Ω} F (x, D v) d x,$ under the constraint…

math.AP2023

Relaxation of one-dimensional nonlocal supremal functionals in the Sobolev setting

Andrea Torricelli, Elvira Zappale

We provide necessary and sufficient conditions on the density $W : R^{d} \times R^{d} \to R$ in order to ensure the sequential weak* lower semicontinuity of the func…