M. Piccinini

activity

20212025

most citedRegularity for multi-phase problems at nearly linear growth

11 citations · 19 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.AP2024

Bounded minimizers of double phase problems at nearly linear growth

Cristiana De Filippis, Filomena De Filippis, Mirco Piccinini

Bounded minimizers of double phase problems at nearly linear growth have locally Hölder continuous gradient within the sharp maximal nonuniformity range $q < 1 + α$ .

math.AP2024★ 11 cited

Regularity for multi-phase problems at nearly linear growth

Filomena De Filippis, Mirco Piccinini

Minima of the log-multiphase variational integral $w \mapsto \int_{Ω} [∣ D w ∣ lo g (1 + ∣ D w ∣) + a (x) ∣ D w ∣^{q} + b (x) ∣ D w ∣^{s}] d x,$ have locally Hölder continuous gradi…

math.AP2024

De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions

Francesca Anceschi, Giampiero Palatucci, Mirco Piccinini

We extend the De Giorgi--Nash--Moser theory to nonlocal hypoelliptic equations arising in kinetic theory as linearized models for the non-cutoff Boltzmann equation. Assuming that t…