P. Baroni

most citedGlobal estimates for nonlinear parabolic equations

11 citations · 13 across the 3 of their papers we have counts for

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math.AP2017★ 2 cited

Regularity for general functionals with double phase

Paolo Baroni, Maria Colombo, Giuseppe Mingione

We prove sharp regularity results for a general class of functionals of the type $w \mapsto \int F (x, w, D w) d x,$ featuring non-standard growth conditions and non-uniform…

math.AP2017

Existence and boundary regularity for degenerate phase transitions

Paolo Baroni, Tuomo Kuusi, Casimir Lindfors +1

We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the p…

math.AP2013★ 11 cited

Global estimates for nonlinear parabolic equations

Paolo Baroni, Agnese Di Castro, Giampiero Palatucci

We consider nonlinear parabolic equations of the type $u_{t} - d i v a (x, t, D u) = f (x, t) o n Ω_{T} = Ω \times (- T, 0),$ under standard growth conditions on $a$ , with $f$ only assumed to…