4 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 $Ï\subset \mathbb{R}^{N…
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…