Elvira Mascolo

collaborators

3 papers

math.AP2024

Regularity for minimizers of scalar integral functionals

Antonio Giuseppe Grimaldi, Elvira Mascolo, Antonia Passarelli di Napoli

We prove the local Lipschitz regularity of the local minimizers of scalar integral functionals of the form \begin{equation*} \mathcal{F}(v;Ω)= \int_Ω f (x, Dv) dx \end{equation*} u…

math.AP2023

The Leray-Lions existence theorem under general growth conditions

Giovanni Cupini, Paolo Marcellini, Elvira Mascolo

We prove an existence result of weak solutions $u \in W_{0}^{1, p} (Ω) \cap W_{loc}^{1, q} (Ω)$ , to a Dirichlet problem for a second order elliptic equ…

math.AP2023

Regularity for nonuniformly elliptic equations with $p, q -$ growth and explicit $x, u -$ dependence

Giovanni Cupini, Paolo Marcellini, Elvira Mascolo

We are interested in the regularity of weak solutions $u$ to the elliptic equation in divergence form; precisely in their local boundedness and their local Lipschitz continuity und…

Regularity for minimizers of scalar integral functionals

The Leray-Lions existence theorem under general growth conditions

Regularity for nonuniformly elliptic equations with p,q−growth and explicit x,u−dependence

Regularity for nonuniformly elliptic equations with $p, q -$ growth and explicit $x, u -$ dependence