Jing Wu

collaborators

4 papers

math.AP2023

Exceptional domains in higher dimensions

Ignace Aristide Minlend, Tobias Weth, Jing Wu

We prove the existence of nontrivial unbounded exceptional domains in the Euclidean space $R^{N}$ , $N \geq 4$ . These domains arise as perturbations of complements of straight cylinder…

math.AP2023

Modica type estimates and curvature results for overdetermined elliptic problems

David Ruiz, Pieralberto Sicbaldi, Jing Wu

In this paper, we establish a Modica type estimate on bounded solutions to the overdetermined elliptic problem \begin{equation*} \begin{cases} Δu+f(u) =0& \mbox{in $Ω$ , }\\ u>0 &\m…

math.DG2023

Sobolev inequalities in manifolds with nonnegative intermediate Ricci curvature

Hui Ma, Jing Wu

We prove Michael-Simon type Sobolev inequalities for $n$ -dimensional submanifolds in $(n + m)$ -dimensional Riemannian manifolds with nonnegative $k$ -th intermediate Ricci curvature b…

math.DG2019

Contracting axially symmetric hypersurfaces by powers of the $σ_{k}$ -curvature

Haizhong Li, Xianfeng Wang, Jing Wu

In this paper, we investigate the contracting curvature flow of closed, strictly convex axially symmetric hypersurfaces in $R^{n + 1}$ and $S^{n + 1}$ by $σ_{k}^{α}$ , whe…

Exceptional domains in higher dimensions

Modica type estimates and curvature results for overdetermined elliptic problems

Sobolev inequalities in manifolds with nonnegative intermediate Ricci curvature

Contracting axially symmetric hypersurfaces by powers of the σk​-curvature

Contracting axially symmetric hypersurfaces by powers of the $σ_{k}$ -curvature