7 citations · 13 across the 8 of their papers we have counts for
8 papers
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 Lavrentiev gap for manifold-valued maps
Carlo Alberto Antonini, Filomena De Filippis, Cintia Pacchiano Camacho
We investigate the validity and the failure of modular density of smooth maps on compact manifolds.
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…
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…
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…
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…
Variational solutions to the total variation flow on metric measure spaces
Vito Buffa, Juha Kinnunen, Cintia Pacchiano Camacho
We discuss a purely variational approach to the total variation flow on metric measure spaces with a doubling measure and a Poincaré inequality. We apply the concept of parabolic D…
Existence of parabolic minimizers to the total variation flow on metric measure spaces
Vito Buffa, Michael Collins, Cintia Pacchiano Camacho
We give an existence proof for variational solutions associated to the total variation flow. Here, the functions being considered are defined on a metric measure space $(\mathc…