8 citations · 11 across the 17 of their papers we have counts for
19 papers
Bifurcation of overdetermined capillary problems in a strip domain
Yuanyuan Lian, Pieralberto Sicbaldi
In this paper, we consider the classical overdetermined capillary problem: \begin{equation*} \begin{cases} \mathrm{div} \left(\frac{\nabla u}{\sqrt{1+|\nabla u|^2}}\right) - bu =0…
Overdetermined problems for the rotationally invariant Poisson equation in model manifolds
Antonio Greco, Marcello Lucia, Pieralberto Sicbaldi
We present rigidity results for overdetermined problems associated to the rotationally invariant Poisson equation in a model manifold $\mathcal{M} = […
Bifurcating domains for an overdetermined eigenvalue problem in cylinders
Yuanyuan Lian, Filomena Pacella, Pieralberto Sicbaldi
We study an overdetermined eigenvalue problem for domains contained in the half-cylinder , based on a bounded regular domain …
Rigidity results for the capillary overdetermined problem
Yuanyuan Lian, Pieralberto Sicbaldi
In this paper we obtain rigidity results for bounded positive solutions of the general capillary overdetermined problem \begin{equation} \left\{ \begin{array} {ll} \mathrm{div} \le…
Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space
Guowei Dai, Pieralberto Sicbaldi, Yong Zhang
We construct nontrivial unbounded domains in the hyperbolic space , , bifurcating from the complement of a ball, such that the overdetermined ell…
Nontrivial solutions to the relative overdetermined torsion problem in a cylinder
Filomena Pacella, David Ruiz, Pieralberto Sicbaldi
Given a bounded regular domain and the half-cylinder , we consider the relative overdetermined torsion problem in , i.e. \[\l…