Paolo Marcellini

most citedLipschitz regularity for degenerate elliptic integrals with p,q-growth

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2021

Local Lipschitz continuity for energy integrals with slow growth

Michela Eleuteri, Paolo Marcellini, Elvira Mascolo +1

We consider some energy integrals under slow growth and we prove that the local minimizers are locally Lipschitz continuous. Many examples are given, either with subquadratic $p,q-…

math.AP2021★ 1 cited

Lipschitz regularity for degenerate elliptic integrals with p,q-growth

Giovanni Cupini, Paolo Marcellini, Elvira Mascolo +1

We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The mai…

math.AP2019

A-priori gradient bound for elliptic systems under either slow or fast growth conditions

Tommaso Di Marco, Paolo Marcellini

We obtain an a-priori $W_{l oc}^{1, \infty} (Ω; R^{m}) -$ bound for solutions in $Ω \subset R^{n}$ , $n \geq 2$ , to the elliptic system \begin{equation*} \sum_{i=1…