2 papers
math.CV2026
Energy estimates for level sets of holomorphic functions and universal counterexamples to Calderón-Zygmund theory
Yifei Pan, Guokuan Shao, Jianfei Wang +1
We demonstrate that the failure of regularity in Calderón-Zygmund theory is a universal phenomenon: every non-constant holomorphic function in $\C^n$ generates a counterexamp…
math.AP2024
On Local Solutions of Second Order Quasi-linear Elliptic Systems with Arbitrary 1-Jet at a Point
Yifei Pan, Yu Yan
We prove a general result on the existence of local solutions of any second order quasi-linear elliptic system with arbitrary 1-jet at a point.