Raffaella Giova

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math.AP2026

Almost Lipschitz regularity for solutions of elliptic equations with discontinuous coefficients

Raffaella Giova, Antonio Giuseppe Grimaldi, Stefania Russo

We are interested in the local higher integrability of solutions to elliptic equations with linear growth of the form $- div A (x, D u) = f (x) .$ Under a Besov regularity assump…

math.AP2025

Energy approximation for some double phase functionals

Menita Carozza, Filomena De Filippis, Raffaella Giova +1

In the present manuscript we give a structure condition that allows for energy approximation in the vectorial case and we provide two examples, enjoying such a condition.

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 $F (v, I^c ◯) = \int_{I^} c ◯ F (x, D v) d x,$ under the constrai…