Preprints available online


Submitted Papers and Preprints:

  1. (with W. Ao, H. Chan, Mar Gonzalez) Bound state solutions for the supercritical fractional Schrodinger equation
  2. (with W. Ao H. Chan, A. Delatorre, M. Fontelos Mar Gonzalez) On higher dimensional singularities for the fractional Yamabe problem: a non-local Mazzeo-Pacard program
  3. (with WW Ao and J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  4. (with Andreas Buttenschoen, Theodore Kolokolnikov, and Michael Ward ) Cops-on-the-Dots: The Linear Stability of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime
  5. (with H. Chan and Y.Liu) A gluing construction for fractional elliptic equations. Part I: a model problem on the catenoid
  6. (with H. Chan and MASOMEH JAMSHID NEJAD) Lamellar phase solutions for Diblock copolymers with nonlocal diffusions.
  7. (with G. Chen and Y.Liu) Nondegeneracy of harmonic maps from $\mathbb R^2$ to $\mathbb S^2$
  8. (with Juan Davila, Manuel del Pino and Monica Musso) Gluing methods for vortex dynamics in Euler equation
  9. (with Juan Davila, Manuel del Pino and Catalina Pesce) Blow-up for the 3-dimensional axially symmetric harmonic map flow into $S^2$
  10. (with Manuel del Pino and Juan Davila) Singularity formation for the two-dimensional harmonic map flow into $S^2$
  11. (with Manuel del Pino and Monica Musso) Type II blow-up in the 5-dimensional energy critical heat equation
  12. (with Manuel del Pino and Monica Musso) Infinite time blow-up for the three dimensional energy critical heat equation
  13. (with Manuel del Pino and Monica Musso) Geometry driven Type II higher dimensional blow-up for the critical heat equation
  14. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  15. (with D. Gomez and L. Mei) Hopf bifurcations from spike solutions for the weak coupling Gierer-Meinhardt system
  16. (with Y. Guo, S. Li and X. Zeng) Ground states of two-component attractive Bose-Einstein condensates I: Existence and Uniqueness
  17. (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
  18. (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
  19. (with A. Hyder) Non-radial solutions to a bi-harmonic equation with negative exponent
  20. (with S.Kim and M. Musso) A compactness theorem of the fractional Yamabe problem, Part I: the non-umbilic conformal infinity
  21. (with T. Kolokolnikov) Hexagonal spike clusters for some PDE's in 2D
  22. (with Yong Liu) Nondegeneracy, Morse index and orbital stability of the lump solution to the KP-I equation
  23. (with Yong Liu) Multi-vortex traveling waves for the Gross-Pitaevskii equation and the Adler-Moser polynomials
  24. (with Yong Liu) A complete classification of finite Morse index solutions to elliptic sine-Gordon equation in the plane
  25. (with Yong Liu and Kelei Wang) On smooth solutions to one phase free boundary problem in $R^n$
  26. (with S Luo and W. Zou) On the triharmonic Lane-Emden equation
  27. (with S Luo and W. Zou) Classification of stable solutions to the fractional ($2
  28. (with S Luo and W. Zou) On finite Morse index solutions to the quaharmonic Lane-Emden equations
  29. (with CS Lin and Z. Nie) Classification of solutions to general Toda systems with singular sources
  30. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  31. (with M. Musso, M. Medina) Desingularization of Clifford Torus and Nonradial Solutions to Yamabe Problem with Maximal Rank
  32. (with Y. Sire and Y. Zheng) Infinite time blow-up for half-harmonic map flow from $\mathbb{R}$ into $\mathbb{S}^1$
  33. (with Y. Sire, Y. Zheng and Yifu Zhou) Infinite time blow-up for the fractional heat equation with critical exponent.
  34. (with M. Winter) Stability of new spike solutions in a supply chain model
  35. (with W. Yan and B. Xu) On Lin-Ni's conjecture in dimension four and six
  36. (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,


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