Yuan Yuan

collaborators

3 papers

math.CV2026

Analytic discs and compactness of the $\partial ˉ$ -Neumann operator

Qianyun Wang, Yuan Yuan, Xu Zhang

We construct a bounded pseudoconvex complete Reinhardt domain $Ω$ with smooth boundary in $C^{3}$ such that the $\partial ˉ$ -Neumann operator $N_{1}$ is compact although $bΩ…

math.CV2026

Rigidity for local holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains

Yuan Yuan, Xu Zhang

Let $U$ be a connected open subset of the complex unit ball $B^{n}$ , $n \geq 2$ , and let $F_{i} : U \to Ω_{i}$ be non-constant holomorphic maps into irreducible bounded symmetric domains. W…

math.CV2025

Sobolev regularity for the $\partial$ -Neumann operator and transverse vector fields

Qianyun Wang, Yuan Yuan, Xu Zhang

On a bounded smooth pseudoconvex domain in $C^{n}$ with $n > 2$ , inspired by the compactness condition introduced by Yue Zhang, we present the new sufficient condition for th…

Analytic discs and compactness of the ∂ˉ-Neumann operator

Rigidity for local holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains

Sobolev regularity for the ∂-Neumann operator and transverse vector fields

Analytic discs and compactness of the $\partial ˉ$ -Neumann operator

Sobolev regularity for the $\partial$ -Neumann operator and transverse vector fields