collaborators

5 papers

math.AP2025

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 …

math.AP2025

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…

math.AP2025

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…

math.AP2025

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)…

math.AP2025

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…