P. Baroni

activity

20132026

most citedGlobal estimates for nonlinear parabolic equations

11 citations · 23 across the 8 of their papers we have counts for

collaborators

Showing 2014 · math.APShow all

2 papers · 2 filters

math.AP2014

Borderline gradient continuity of minima

Paolo Baroni, Tuomo Kuusi, Giuseppe Mingione

The gradient of any local minimiser of functionals of the type $w \mapsto \int_{Ω} f (x, w, D w) d x + \int_{Ω} w μ d x,$ where $f$ has $p$ -growth, $p > 1$ , and $Ω \subset R^{n}$ , is con…

math.AP2014★ 10 cited

A quantitative modulus of continuity for the two-phase Stefan problem

Paolo Baroni, Tuomo Kuusi, José Miguel Urbano

We derive the quantitative modulus of continuity $ω (r) = [p + ln (\frac{r _{0}}{r})]^{- α (n, p)},$ which we conjecture to be optimal, for solutions of the $p$ …