Preprints available online


Submitted Papers and Preprints:

  1. (with Azahara Delatorre, W. Ao and Mar Gonzalez) A gluing approach for the fractional Yamabe problem with isolated singularities
  2. (W. Ao, Hardy Chan and Mar Gonzalez) Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets
  3. (with W. Ao and M. Musso) Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrodinger equations
  4. (with W. Ao and M. Winter) Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system
  5. (with WW Ao and J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  6. (with Chang, Tzou and Ward) Refined Stability Thresholds for Localized Spot Patterns for the Brusselator Model in $R^2$
  7. (with H. Chan and Y.Liu) A gluing construction for fractional elliptic equations. Part I: a model problem on the catenoid
  8. (with Manuel del Pino and Juan Davila) Singularity formation for the two-dimensional harmonic map flow into $S^2$
  9. (with Manuel del Pino and Monica Musso) Infinite time blow-up for the three dimensional energy critical heat equation
  10. (with Manuel del Pino and Monica Musso) Geometry driven Type II higher dimensional blow-up for the critical heat equation
  11. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  12. (with ZM Guo, X. Huang and LP Wang) On Delaunay solutions of a biharmonic elliptic equation with critical exponent
  13. (with Y. Guo, S. Li and X. Zeng) Ground states of two-component attractive Bose-Einstein condensates I: Existence and Uniqueness
  14. (with Y. Guo, S. Li and X. Zeng) Ground states of two-component attractive Bose-Einstein condensates II: Semi-trivial limit behavior
  15. (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
  16. (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
  17. (with Yong Liu) Nondegeneracy of the lump solution to the KP-I equation
  18. (with Yong Liu) Nondegeneracy of the traveling lump solution to the $2+1$ Toda lattice
  19. (with Yong Liu and Kelei Wang) On smooth solutions to one phase free boundary problem in $R^n$
  20. (with S Luo and W. Zou) On the triharmonic Lane-Emden equation
  21. (with S Luo and W. Zou) Classification of stable solutions to the fractional ($2
  22. (with S Luo and W. Zou) On finite Morse index solutions to the quaharmonic Lane-Emden equations
  23. (with CS Lin and Z. Nie) Classification of solutions to general Toda systems with singular sources
  24. (with CS Lin and Z. Nie) Toda system and hypergeometric equations
  25. (with CS Lin, W. Yang and L. Zhang) On rank two Toda system with arbitrary singularities: local maxx and new estimates
  26. (with Y. Liu) On Helmholtz equation and Dancer's type entire solutions for nonlinear elliptic equations
  27. (with CS Lin and W. Yang) Degree counting and shadow system for $SU(3)$ Toda system: one bubbling
  28. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  29. (with Y. Sire and Y. Zheng) Nondegeneracy of half-harmonic maps from $R$ into $S^1$
  30. (with Y. Sire and Y. Zheng) Infinite time blow-up for half-harmonic map flow from $\mathbb{R}$ into $\mathbb{S}^1$
  31. (with Kelei Wang) Finite Morse index implies finite ends
  32. (with M. Winter) Stability of new spike solutions in a supply chain model
  33. (with W. Yan and B. Xu) On Lin-Ni's conjecture in dimension four and six
  34. (with Wen Yang) Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line
  35. (with Lei Zhang) Nondegeneracy of Gauss curvature equation with negative conic singularity
  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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