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…