Jiabin Yin

collaborators

4 papers

math.DG2026

A sharp pinching theorem for closed minimal Legendrian submanifolds in the unit sphere

Yong Luo, Linlin Sun, Jiabin Yin

Let $F:M^n\to\Sph^{2n+1}$ be a minimal Legendrian immersion of a connected closed manifold, where $n \geq 3$ , and let $B$ be its second fundamental form. We prove that if $|B|^2\le(n-…

math.DG2026

Rigidity of Lagrangian submanifolds with conformal Maslov form and Legendrian capillary boundary

Dong Gao, Yong Luo, Hui Ma +1

We classify smoothly immersed Lagrangian $n$ -balls, $n \geq 2$ , in the unit ball of $C^{n}$ with conformal Maslov form and Legendrian capillary boundary. The image of every s…

math.DG2026

Classification of compact Lagrangian self-similar submanifolds with Legendrian capillary boundary in the unit ball

Dong Gao, Yong Luo, Hui Ma +1

We classify smooth compact connected Lagrangian immersions $X$ in the closed unit ball of $\C^n$, $n \geq 2$ , satisfying $H + ε X^{⊥} = 0$ , $ε \in {- 1, 0, 1}$ , with Le…

math.AP2023

A partially overdetermined problem for $p$ -Laplace equation in convex cones

Hui Ma, Mingxuan Yang, Jiabin Yin

We consider a partially overdetermined problem for the $p$ -Laplace equation in a convex cone $C$ intersected with the exterior of a smooth bounded domain $Ω$ in…

A sharp pinching theorem for closed minimal Legendrian submanifolds in the unit sphere

Rigidity of Lagrangian submanifolds with conformal Maslov form and Legendrian capillary boundary

Classification of compact Lagrangian self-similar submanifolds with Legendrian capillary boundary in the unit ball

A partially overdetermined problem for p-Laplace equation in convex cones

A partially overdetermined problem for $p$ -Laplace equation in convex cones