1 citations · 1 across the 8 of their papers we have counts for
9 papers
Schauder estimates for quasilinear parabolic equations with general Orlicz growth
Carlo Alberto Antonini
We develop a unified approach to Schauder estimates for scalar parabolic equations \[ \partial_t u-\operatorname{div}\big(\mathcal{A}(x,t,Du)\big)=f(x,t) \] with general Orlicz gro…
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 of radius in , where is the bounded…
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.
On the anisotropic critical -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 -Laplace equation in $\mathbb{…
Local and global -regularity for uniformly elliptic quasilinear equations of -Laplace and Orlicz-Laplace type
Carlo Alberto Antonini
We establish gradient Hölder continuity for solutions to quasilinear, uniformly elliptic equations, including -Laplace and Orlicz-Laplace type operators. We revisit and improve…
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.
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…
Second order regularity for degenerate p-Laplace type equations with log-concave weights
Carlo Alberto Antonini, Giulio Ciraolo, Francesco Pagliarin
We consider weighted p-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the…
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…