2 citations · 3 across the 10 of their papers we have counts for
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Local Boundedness of Local Minimizers for a Class of Nonlinear Elliptic Systems with General Growth
Elvira Mascolo, Antonella Nastasi, Cintia Pacchiano Camacho
In this paper, we prove the local boundedness of solutions to systems of partial differential equations in divergence form. More specifically, we consider systems that include the…
On the interplay between -growth and -dependence of the energy integrand: a limit case
M. Eleuteri, P. Marcellini, E. Mascolo +1
We establish the local Lipschitz regularity of the local minimizers of non autonomous integral funtionals of the form \[ \int_ΩF(x, Dz)\,dx, \] where is a bounded open set of $…
Local boundedness for solutions of a class of non-uniformly elliptic anisotropic problems
Stefano Biagi, Giovanni Cupini, Elvira Mascolo
We consider a class of {energy integrals}, associated to nonlinear and non-uniformly elliptic equations, with integrands satisfying anisotropic -growth conditions…
Regularity of vectorial minimizers for non-uniformly elliptic anisotropic integrals
Pasquale Ambrosio, Giovanni Cupini, Elvira Mascolo
We establish the local boundedness of the local minimizers of non-uniformly elliptic integrals of the form , where is a bounde…
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…
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…
Higher differentiability for a class of problems under p,q subquadratic growth
Elvira Mascolo, Antonia Passarelli di Napoli
We study the higher differentiability for nonlinear elliptic equation in divergence form . The result covers the cases in which satisfie…
Local boundedness for solutions of a class of nonlinear elliptic systems
G. Cupini, F. Leonetti, E. Mascolo
In this paper we are concerned with the regularity of solutions to a nonlinear elliptic system of equations in divergence form, satisfying growth from below and growth…
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…