196 citations · 661 across the 35 of their papers we have counts for
4 papers · 1 filter
Harmonic maps in connection of phase transitions with higher dimensional potential wells
Fanghua Lin, Changyou Wang
This is in the sequel of authors' paper \cite{LPW} in which we had set up a program to verify rigorously some formal statements associated with the multiple component phase transit…
Riesz transform under perturbations via heat kernel regularity
Renjin Jiang, Fanghua Lin
Let be a complete non-compact Riemannian manifold. In this paper, we derive sufficient conditions on metric perturbation for stability of -boundedness of the Riesz transfo…
Nodal Sets and Doubling Conditions in Elliptic Homogenization
Fanghua Lin, Zhongwei Shen
This paper is concerned with uniform measure estimates for nodal sets of solutions in elliptic homogenization. We consider a family of second-order elliptic operators $\{ \mathcal{…
Superfluids Passing an Obstacle and Vortex Nucleation
Fanghua Lin, Juncheng Wei
We consider a superfluid described by the Gross-Pitaevskii equation passing an obstacle \[ε^2 Δu+ u(1-|u|^2)=0 \ \mbox{in} \ {\mathbb R}^d \backslash Ω, \ \ \frac{\partial u}{\part…