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From the 1 of 6 linked papers with an AI index.

activity
20242026
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6 papers

math.FA2026

A slicing approach to stress-strain duality

Virginia De Cicco, Giovanni Scilla

The classical Kohn-Temam stress-strain pairing for symmetric tensors and is typically formulated under summability assumptions on the…

math.FA2026

Gauss-Green formulas for divergence measure tensor fields on rough domains

Virginia De Cicco, Giovanni Scilla

The paper defines a pairing between bounded tensor fields with divergence measure and BV vector functions, introduces a notion of normal trace on rectifiable sets, and proves Gauss…

math.FA2026

Beyond : new pairings and Gauss-Green formulas for measure fields with divergence measure

Giovanni Eugenio Comi, Virginia De Cicco, Giovanni Scilla

A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular…

math.AP2025

Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth

Chiara Leone, Giovanni Scilla, Francesco Solombrino +1

The optimal local Lipschitz regularity for scalar almost-minimizers of Alt-Caffarelli-type functionals $$ \mathcal{F}({v}; Ω) = \int_Ωφ(x,\left|\nabla v(x) \right|)+ λχ_{\{{v}…

math.AP2025

Partial regularity for parabolic systems of double phase type

Jihoon Ok, Giovanni Scilla, Bianca Stroffolini

We study partial regularity for nondegenerate parabolic systems of double phase type, where the growth function is given by , , with $\tfrac{2n}…

math.AP2024

Partial regularity for degenerate systems of double phase type

Jihoon Ok, Giovanni Scilla, Bianca Stroffolini

We study partial regularity for degenerate elliptic systems of double-phase type, where the growth function is given by with and a nonnegati…