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.CA2026

Constructing Discontinuous but Locally Bounded Rational Functions using Łojasiewicz Inequalities

Adam Coffman, Yifei Pan

For real multivariate polynomials $P$ and $Q$ both vanishing at a point, if the zero set of $Q$ is contained in the zero set of $P$ , then there exists a rational function of the fo…

math.AP2026

On a Local Radial Rigidity Phenomenon of Elliptic Systems on Riemannian Manifolds

Yifei Pan, Yu Yan, Yuan Zhang

In this paper, we study local radial rigidity phenomena for a broad class of general-order elliptic systems on Riemannian manifolds via a reduction to singular ordinary differentia…

Unique continuation for ∂ˉu=Vu at infinity

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

Constructing Discontinuous but Locally Bounded Rational Functions using Łojasiewicz Inequalities

On a Local Radial Rigidity Phenomenon of Elliptic Systems on Riemannian Manifolds

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