Preprints available online
Submitted Papers and Preprints:
 (with WW Ao and J. Yang)
Vortex helices for inhomogeneous GrossPitaevskii equation in three dimensional spaces
 (with Andreas Buttenschoen, Theodore Kolokolnikov, and Michael Ward )
CopsontheDots: The Linear Stability of Crime Hotspots for a 1D ReactionDiffusion Model of Urban Crime
 (with H. Chan and Y.Liu)
A gluing construction for fractional elliptic equations. Part I: a model problem on the catenoid
 (with Y. Cheng)
fast and slow decaying solutions for $H^1$supercritical quasilinear Schrodinger equations
 (with Juan Davila, Manuel del Pino and Monica Musso)
Gluing methods for vortex dynamics in Euler equation
 (with Manuel del Pino and Juan Davila)
Singularity formation for the twodimensional harmonic map flow into $S^2$
Singularity formation for the twodimensional harmonic map flow into $S^2$ (full version)
 (with Manuel del Pino and Monica Musso)
Geometry driven Type II higher dimensional blowup for the critical heat equation
 (with Manuel del Pino and Monica Musso)
Existence and stability of infinite time bubble towers in the energy critical heat equation
 (with Y. Ding and Z. Liu) Multiplicity and concentration of
semiclassical solutions
to nonlinear Dirac equations
 (with T. D'Aprile)
Bubbling solutions for the Liouville equation with a singular source: nonsimple blowup
 (with D. Gomez and L. Mei) Hopf bifurcations from spike solutions for the weak coupling GiererMeinhardt system
 (with C. Gui and K. Wang)
Axially symmetric solutions of AllenCahn equation with finite Morse index
 (with ZM Guo)
Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
 (with YX Guo)
Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
 (with A. Hyder)
Nonradial solutions to a biharmonic equation with negative exponent
 (with A. Hyder and ChangShou Lin)
On $SU(3)$ Toda system with multiple singular sources
 (with A. Hyder and Wen yang)
On the general Toda system with multiple singular sources
 (with Slim Ibrahim, Hiroaki Kikuchi and Kenji Nakanishi)
Nonuniqueness for an energycritical heat equation on $\R^2$
 (with S.Kim and M. Musso)
A compactness theorem of the fractional Yamabe problem, Part I: the nonumbilic conformal infinity
 (with S.Kim and M. Musso)
Compactness of scalarflat conformal metrics on lowdimensional manifolds with constant mean curvature on boundary
 (with T. Kolokolnikov)
Hexagonal spike clusters for some PDE's in 2D
 (with Yong Liu)
Nondegeneracy, Morse index and orbital stability of the lump solution to the KPI equation
 (with Yong Liu)
A complete classification of finite Morse index solutions to elliptic
sineGordon equation in the plane
 (with Yong Liu and Kelei Wang)
On smooth solutions to one phase free boundary problem in $R^n$
 (with S Luo and W. Zou)
On the triharmonic LaneEmden equation
 (with S Luo and W. Zou)
Classification of stable solutions to the fractional ($2
 (with S Luo and W. Zou)
On finite Morse index solutions to the quaharmonic LaneEmden equations

(with S Luo and X. Ren)
Nonhexagonal lattices from a two species interacting system
 (with CS Lin and Z. Nie)
Classification of solutions to general Toda systems with singular sources

(with H. Matano)
On anisotropic curvature flows (paper written in 1997)

(with Y. Sire and Y. Zheng)
Infinite time blowup for halfharmonic map flow from $\mathbb{R}$ into $\mathbb{S}^1$

(with Y. Sire and Y. Zheng)
Singularity formation in the harmonic map flow with free boundary

(with Kelei Wang)
Second order estimates on transition layers
 (with M. Winter)
Stability of new spike solutions in a supply chain model
 (with Y. Wu)
Ground states of Nonlinear Schr\"{o}dinger System with Mixed Couplings
 (with Lei Zhang)
Estimates for Liouville equation with quantized singularities

(with Liqun Zhang)
On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,
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