works on

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

activity
20242026
collaborators
Showing math.APShow all

5 papers · 1 filter

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…

math.AP2024

Partial regularity for degenerate parabolic systems with general growth via caloric approximations

Jihoon Ok, Giovanni Scilla, Bianca Stroffolini

We establish a partial regularity result for solutions of parabolic systems with general -growth, where is an Orlicz function. In this setting we can develop a unified app…

math.AP2024

Strong existence for free-discontinuity problems with non-standard growth

Chiara Leone, Giovanni Scilla, Francesco Solombrino +1

An Ahlfors-type regularity result for free-discontinuity energies defined on the space of special functions of bounded variation with -growth, where is a generali…