6 papers
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 whose weakly pseudoconvex loci realize prescribed closed sets.
Constructing Discontinuous but Locally Bounded Rational Functions using Åojasiewicz Inequalities
Adam Coffman, Yifei Pan
For real multivariate polynomials and both vanishing at a point, if the zero set of is contained in the zero set of , then there exists a rational function of the fo…
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 a gradient inequality with potential
Adam Coffman, Yifei Pan, Yuan Zhang
We establish a unique continuation property for solutions of the differential inequality , where is locally integrable on a domain in .…
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 $\…
On solutions to near infinity
Yifei Pan, Yuan Zhang
We investigate the unique continuation property and the sign changing behavior of weak solutions to near infinity under certain conditions on the blow-up rate of the pot…