6 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…
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…
Liouville theorems for fully nonlinear elliptic equations on half spaces
Yuanyuan Lian
In this note, we prove two Liouville theorems for fully nonlinear uniformly elliptic equations on half spaces. The main tools are the boundary pointwise regularity, the Hopf type e…
Boundary Regularity for Fully Nonlinear Parabolic equations on Domains
Jiqi Dong, Xuemei Li, Yuanyuan Lian
We establish the boundary pointwise Lipschitz regularity on exterior domains and the Hopf lemma on interior domains for fully nonlinear…
Modica type estimates and curvature results for overdetermined -Laplace problems
Yuanyuan Lian, Jing Wu
In this paper we prove Modica type estimates for the following overdetermined -Laplace problem \begin{equation*} \begin{cases} \mathrm{div} \left(|\nabla u|^{p-2}\nabla u\right)…
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…