14 citations · 14 across the 7 of their papers we have counts for
8 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…
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\m…
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<p…
Higher differentiability for a class of problems under p,q subquadratic growth
Elvira Mascolo, Antonia Passarelli di Napoli
We study the higher differentiability for nonlinear elliptic equation in divergence form . The result covers the cases in which satisfie…
On the validity of variational inequalities for obstacle problems with non-standard growth
Michela Eleuteri, Antonia Passarelli di Napoli
The aim of the paper is to show that the solutions to variational problems with non-standard growth conditions satisfy a corresponding variational inequality without any smallness…
Regularity results for a class of obstacle problems with growth conditions
Michele Caselli, Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the local boundedness as well as the local Lipschitz continuity for solutions to a class of obstacle problems of the type $$\min\left\{\int_Ω{F(x, Dz)}: z\in…