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20212026
most citedRegularity properties for quasiminimizers of a -Dirichlet integral

4 citations · 8 across the 8 of their papers we have counts for

collaborators

9 papers

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.AP2025

Partial regularity for Double Phase obstacle problems

Filomena De Filippis, Antonella Nastasi, Cintia Pacchiano Camacho

We investigate partial regularity for vector valued local minimizers of double phase functionals, under vectorial obstacle type constraints satisfying appropriate topological prope…

math.AP2024

Boundary regularity for quasiminima of double-phase problems on metric spaces

Antonella Nastasi, Cintia Pacchiano Camacho

We give a sufficient condition for Hölder continuity at a boundary point for quasiminima of double-phase functionals of -Laplace type, in the setting of metric measure spaces…

math.AP2024

Unified a-priori estimates for minimizers under growth and exponential growth

Paolo Marcellini, Antonella Nastasi, Cintia Pacchiano Camacho

We propose some general growth conditions on the function , including the so-called natural growth, or polynomial, or growth conditions, or even expo…

math.AP2023★ 1 cited

Neumann -Laplacian problems with a reaction term on metric spaces

Antonella Nastasi

We use a variational approach to study existence and regularity of solutions for a Neumann -Laplacian problem with a reaction term on metric spaces equipped with a doubling meas…

math.AP2023

Regularity results for quasiminima of a class of double phase problems

Antonella Nastasi, Cintia Pacchiano Camacho

We prove boundedness, Hölder continuity, Harnack inequality results for local quasiminima to elliptic double phase problems of -Laplace type in the general context of metric mea…

math.AP2023

Gradient higher integrability for double phase problems on metric measure spaces

Juha Kinnunen, Antonella Nastasi, Cintia Pacchiano Camacho

We study local and global higher integrability properties for quasiminimizers of a class of double-phase integrals characterized by nonstandard growth conditions. We work purely on…

math.AP2022★ 3 cited

Higher integrability and stability of -quasiminimizers

Antonella Nastasi, Cintia Pacchiano Camacho

Using purely variational methods, we prove local and global higher integrability results for upper gradients of quasiminimizers of a -Dirichlet integral with fixed boundary…

math.AP2021★ 4 cited

Regularity properties for quasiminimizers of a -Dirichlet integral

Antonella Nastasi, Cintia Pacchiano Camacho

Using a variational approach we study interior regularity for quasiminimizers of a -Dirichlet integral, as well as regularity results up to the boundary, in the setting of a…