5 papers
Regularity for Minimizers of non Autonomous Singular Functionals with Anisotropic Growth
Albert Clop, Antonia Passarelli di Napoli, Stefania Russo
We establish the higher differentiability of the local minimizers to a class of non autonomous convex integral functionals satisfying anisotropic subquadratic growth conditions, th…
Sobolev regularity of the symmetric gradient of solutions to a class of -Laplacian systems
Flavia Giannetti, Antonia Passarelli di Napoli
The paper deals with the second order regularity properties of the weak solutions } of systems of the form \begin{equation*}\label{equareg} -\dive A(x,…
Fractional higher differentiability of solutions to strongly nonlinear Stokes systems
Andrea Cianchi, Flavia Giannetti, Antonia Passarelli di Napoli +1
This work concerns stationary Stokes type systems governed by a general class of non-necessarily power-type nonlinearities. Fractional regularity properties of the symmetric gradie…
Local boundedness for solutions to parabolic -problems with degenerate coefficients
Flavia Giannetti, Antonia Passarelli di Napoli, Christoph Scheven
We investigate the local boundedness of solutions to parabolic equations of the form \begin{equation*} \partial_tu-\mathrm{div}\,\mathcal{A}(x,t,Du)=0 \qquad\…
On the second-order regularity of solutions to widely singular or degenerate elliptic equations
Pasquale Ambrosio, Antonio Giuseppe Grimaldi, Antonia Passarelli di Napoli
We consider local weak solutions to PDEs of the type \[ -\,\mathrm{div}\left((\vert Du\vert-λ)_{+}^{p-1}\frac{Du}{\vert Du\vert}\right)=f\,\,\,\,\,\,\,\text{in}\,\,Ω, \] where $1…