Carlo Alberto Antonini

collaborators

3 papers

math.AP2023

Smooth approximation of Lipschitz domains, weak curvatures and isocapacitary estimates

Carlo Alberto Antonini

We provide a novel approach to approximate bounded Lipschitz domains via a sequence of smooth, bounded domains. The flexibility of our method allows either inner or outer approxima…

math.AP2023

Global gradient regularity and a Hopf lemma for quasilinear operators of mixed local-nonlocal type

Carlo Alberto Antonini, Matteo Cozzi

We address some regularity issues for mixed local-nonlocal quasilinear operators modeled upon the sum of a $p$ -Laplacian and of a fractional $(s, q)$ -Laplacian. Under suitable assu…

math.AP2021

Interior regularity results for inhomogeneous anisotropic quasilinear equations

Carlo Alberto Antonini, Giulio Ciraolo, Alberto Farina

We consider inhomogeneous $p$ -Laplace type equations of the form $- div (a (\nabla u)) = f$ in a possibly anisotropic setting. Under general assumptions on the sourc…