1 citations · 1 across the 4 of their papers we have counts for
5 papers
The Leray-Lions existence theorem under general growth conditions
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
We prove an existence result of weak solutions , to a Dirichlet problem for a second order elliptic equ…
Regularity for nonuniformly elliptic equations with growth and explicit dependence
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
We are interested in the regularity of weak solutions to the elliptic equation in divergence form; precisely in their local boundedness and their local Lipschitz continuity und…
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-…
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…
A-priori gradient bound for elliptic systems under either slow or fast growth conditions
Tommaso Di Marco, Paolo Marcellini
We obtain an a-priori bound for solutions in , , to the elliptic system \begin{equation*} \sum_{i=1…