4 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.
Vectorial 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 exp…