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 WW Ao and J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  5. (with N. T. Fadai and M. Ward) A time-delay in the activator knetics enhances the stability of a spike solution to the Gierer-Meinhardt model
  6. (with Changfeng Gui and Yong Liu) Two-end solutions to the Allen-Cahn equation in $\mathbb{R}^3$
  7. (with ZM Guo and Feng Zhou) Singular radial entire solutions and weak solutions with prescribed singular set for a biharmonic equation
  8. (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
  9. (with Yujin Guo and CS Lin) Local uniqueness and refined spike profiles of ground states for two-dimensional attractive Bose-Einstein condensates
  10. (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
  11. (with S. Kim and M. Musso) A non-compactness result on the fractional Yamabe problem in large dimensions and supplement material
  12. (with S. Kim and M. Musso) Existence theorems of the fractional Yamabe problem
  13. (with T. Kolokolnikov) Pattern formation in a reaction-diffusion system with space-dependent feed rate
  14. (with S Luo and W. Zou) On the triharmonic Lane-Emden equation
  15. (with S Luo and W. Zou) Classification of stable solutions to the fractional ($2
  16. (with S Luo and W. Zou) On finite Morse index solutions to the quaharmonic Lane-Emden equations
  17. (with Yong Liu and Kelei Wang) Global minimizers of Allen-Cahn equation in dimensions $ n\geq 8$
  18. (with CS Lin and Z. Nie) Classification of solutions to general Toda systems with singular sources
  19. (with CS Lin and Z. Nie) Toda system and hypergeometric equations
  20. (with CS Lin, W. Yang and L. Zhang) On rank two Toda system with arbitrary singularities: local maxx and new estimates
  21. (with Y. Liu) On Helmholtz equation and Dancer's type entire solutions for nonlinear elliptic equations
  22. (with CS Lin and W. Yang) Degree counting and shadow system for $SU(3)$ Toda system: one bubbling
  23. (with M. Winter) Stability of new spike solutions in a supply chain model
  24. (with W. Yan and B. Xu) On Lin-Ni's conjecture in dimension four and six
  25. (with Wen Yang) Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line
  26. (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,


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