Author

Carlo Alberto Antonini

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Preprint Oct 2026

Schauder estimates for quasilinear parabolic equations with general Orlicz growth

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 growth and coefficients that are H\"older continuous in the spatial variables and merely measurable in time. Combining intrinsic gradient estim...

Carlo Alberto Antonini · 0 citations

Preprint Jul 2026

Regularity results for elliptic equations on cones

We study global regularity of solutions to Dirichlet or Neumann elliptic problems in spherical sectors $S_{D,R}$ of radius $R>0$ in $\mathbb{R}^N, N\ge 2$, where $D$ is the bounded domain on the unit sphere $\mathbb{S}^{N-1}$ which spans the spherical sector. One of the main results shows that boundedness of the gradie...

Carlo Alberto Antonini, F. Pacella, Camilla Chiara Polvara et al. · 0 citations