Yifei Pan

activity

20222026

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4 papers · 1 filter

math.CV2026

Unique continuation for $\partial ˉ u = V u$ at infinity

Yifei Pan, Yuan Zhang

Motivated by Landis's conjecture on unique continuation at infinity for the Laplacian, we study the corresponding property for the Cauchy-Riemann operator. We prove that every weak…

math.CV2026

Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci

Martino Fassina, Yifei Pan, Yuan Zhang

We construct smoothly bounded pseudoconvex or convex domains in $C^{n}$ whose weakly pseudoconvex loci realize prescribed closed sets.

math.CV2025

Non-quadratic solutions to the Monge-Ampère equation

Yifei Pan, Yuan Zhang

We construct ample smooth strictly plurisubharmonic non-quadratic solutions to the Monge-Ampère equation on either cylindrical type domains or the whole complex Euclidean space $\m…

math.CV2022

Optimal Sobolev regularity of $\partial ˉ$ on the Hartogs triangle

Yifei Pan, Yuan Zhang

In this paper, we show that for each $k \in Z^{+}, p > 4$ , there exists a solution operator $T_{k}$ to the $\partial ˉ$ problem on the Hartogs triangle that maintains t…

Unique continuation for ∂ˉu=Vu at infinity

Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci

Non-quadratic solutions to the Monge-Ampère equation

Optimal Sobolev regularity of ∂ˉ on the Hartogs triangle

Unique continuation for $\partial ˉ u = V u$ at infinity

Optimal Sobolev regularity of $\partial ˉ$ on the Hartogs triangle