Carlo Alberto Antonini

collaborators

7 papers

math.AP2026

Regularity results for elliptic equations on cones

Carlo Alberto Antonini, Filomena Pacella, Camilla Chiara Polvara +1

We study global regularity of solutions to Dirichlet or Neumann elliptic problems in spherical sectors $S_{D, R}$ of radius $R > 0$ in $R^{N}, N \geq 2$ , where $D$ is the bounded…

math.AP2026

Partial regularity for vectorial local-nonlocal problems

Carlo Alberto Antonini, Paolo Baroni

We establish sharp interior regularity for solutions to vectorial, nonlinear local-nonlocal systems.

math.AP2026

On the anisotropic critical $p$ -Laplace equation: classification, decomposition, and stability results

Carlo Alberto Antonini, Giulio Ciraolo, Michele Gatti

We investigate both qualitative and quantitative issues related to the classification of non-negative energy solutions to the anisotropic critical $p$ -Laplace equation in $\mathbb{…

math.AP2026

On the Lavrentiev gap for manifold-valued maps

Carlo Alberto Antonini, Filomena De Filippis, Cintia Pacchiano Camacho

We investigate the validity and the failure of modular density of smooth maps on compact manifolds.

math.AP2026

Local and global $C^{1, I^^{2}}$ -regularity for uniformly elliptic quasilinear equations of $p$ -Laplace and Orlicz-Laplace type

Carlo Alberto Antonini

We establish gradient HÃ¶lder continuity for solutions to quasilinear, uniformly elliptic equations, including $p$ -Laplace and Orlicz-Laplace type operators. We revisit and improve…

math.AP2025

Global Lipschitz regularity in anisotropic elliptic problems with natural gradient growth

Carlo Alberto Antonini, Andrea Cianchi

We deal with homogeneous Dirichlet and Neumann boundary-value problems for anisotropic elliptic operators of p-Laplace type. They emerge as Euler-Lagrange equations of integral fun…

Regularity results for elliptic equations on cones

Partial regularity for vectorial local-nonlocal problems

On the anisotropic critical p-Laplace equation: classification, decomposition, and stability results

On the Lavrentiev gap for manifold-valued maps

Local and global C1,I^2-regularity for uniformly elliptic quasilinear equations of p-Laplace and Orlicz-Laplace type

Global Lipschitz regularity in anisotropic elliptic problems with natural gradient growth

On the anisotropic critical $p$ -Laplace equation: classification, decomposition, and stability results

Local and global $C^{1, I^^{2}}$ -regularity for uniformly elliptic quasilinear equations of $p$ -Laplace and Orlicz-Laplace type