E. Mascolo

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math.AP2026

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…

math.AP2026

On the interplay between $(p, q)$ -growth and $x$ -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 \[ \int_Î©F(x, Dz)\,dx, \] where $I^c ◯$ is a bounded open set of…

math.AP2026

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 $u : I^c ◯ \to R^{m}$ of non-uniformly elliptic integrals of the form $\int_{I^} c ◯ f (x, D v) d x$ , where $I^c ◯$ is a bou…

math.AP2025

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 $f (x, u, I^¾)$ satisfying anisotropic $p_{i}, q$ -growth condition…

Local Boundedness of Local Minimizers for a Class of Nonlinear Elliptic Systems with General Growth

On the interplay between (p,q)-growth and x-dependence of the energy integrand: a limit case

Regularity of vectorial minimizers for non-uniformly elliptic anisotropic integrals

Local boundedness for solutions of a class of non-uniformly elliptic anisotropic problems

On the interplay between $(p, q)$ -growth and $x$ -dependence of the energy integrand: a limit case