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 Azahara Delatorre, W. Ao and Mar Gonzalez) A gluing approach for the fractional Yamabe problem with isolated singularities
  4. (W. Ao, Hardy Chan and Mar Gonzalez) Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets
  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 G. Chen and Y.Liu) Nondegeneracy of harmonic maps from $\mathbb R^2$ to $\mathbb S^2$
  9. (with Juan Davila, Manuel del Pino and Monica Musso) Gluing methods for vortex dynamics in Euler equation
  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) Infinite time blow-up for the three dimensional energy critical heat equation
  12. (with Manuel del Pino and Monica Musso) Geometry driven Type II higher dimensional blow-up for the critical heat equation
  13. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  14. (with ZM Guo, X. Huang and LP Wang) On Delaunay solutions of a biharmonic elliptic equation with critical exponent
  15. (with Y. Guo, S. Li and X. Zeng) Ground states of two-component attractive Bose-Einstein condensates I: Existence and Uniqueness
  16. (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
  17. (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
  18. (with Fanghua Lin) Superfluids passing an obstacle and vortex nucleation
  19. (with Yong Liu) Nondegeneracy, Morse index and orbital stability of the lump solution to the KP-I equation
  20. (with Yong Liu) Nondegeneracy of the traveling lump solution to the $2+1$ Toda lattice
  21. (with Yong Liu) Multi-vortex traveling waves for the Gross-Pitaevskii equation and the Adler-Moser polynomials
  22. (with Yong Liu) A complete classification of finite Morse index solutions to elliptic sine-Gordon equation in the plane
  23. (with Yong Liu and Kelei Wang) On smooth solutions to one phase free boundary problem in $R^n$
  24. (with S Luo and W. Zou) On the triharmonic Lane-Emden equation
  25. (with S Luo and W. Zou) Classification of stable solutions to the fractional ($2
  26. (with S Luo and W. Zou) On finite Morse index solutions to the quaharmonic Lane-Emden equations
  27. (with CS Lin and Z. Nie) Classification of solutions to general Toda systems with singular sources
  28. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  29. (with M. Musso, M. Medina) Desingularization of Clifford Torus and Nonradial Solutions to Yamabe Problem with Maximal Rank
  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 Y. Sire, Y. Zheng and Yifu Zhou) Infinite time blow-up for the fractional heat equation with critical exponent.
  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 Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,


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