4 papers · 1 filter
Almost Lipschitz regularity for solutions of elliptic equations with discontinuous coefficients
Raffaella Giova, Antonio Giuseppe Grimaldi, Stefania Russo
We are interested in the local higher integrability of solutions to elliptic equations with linear growth of the form Under a Besov regularity assump…
Regularity for minimizers of degenerate, non-autonomous, orthotropic integral functionals
Antonio Giuseppe Grimaldi, Stefania Russo
We prove the higher differentiability of integer order of locally bounded minimizers of integral functionals of the form \begin{equation*} \mathcal{F}(u,Ω):= \,\sum_{i=1}^{n} \dfr…
Weak comparison principle for widely degenerate elliptic equations
Antonio Giuseppe Grimaldi, Stefania Russo
We prove a comparison principle for local weak solutions to a class of widely degenerate elliptic equations of the form \begin{equation} -\text{div} \left( \left(|Du|-1 \right)^{p-…
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…