Author

F. Pacella

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Preprint Oct 2026

Generic nondegeneracy of constant mean curvature radial graphs

Given a smooth domain $D\subset\mathbb S^{N-1}$, $N\geq 3$, and a positive constant $H$, we study radial graphs over $D$ with constant mean curvature $H$ which meet orthogonally the boundary of the cone spanned by $D$. The corresponding problem is given by a quasilinear elliptic equation on $D$ with homogeneous Neumann...

A. Iacopetti, F. Pacella · 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