Preprints available online

Submitted Papers and Preprints:

  1. (with Joao H. Andrade) Classification for singular positive solutions to critical sixth order equations
  2. (with Joao H. Andrade, Jeffrey Case and Paolo Piccone) A general nonuniqueness result for Yamabe-type problems for conformally variational Riemannian invariants
  3. (with Joao H. Andrade and Paolo Piccone) Nonuniqueness results for constant sixth order Q-curvature metrics on Einstein manifolds
  4. (with Joao H. Andrade, Joao Marcos Do O, Jesse Ratzkin ) Compactness of singular solutions to the sixth order GJMS equation
  5. (with WW Ao and J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  6. (with H. Chan and Y.Liu) Existence and instability of deformed catenoidal solutions for fractional Allen-Cahn equation
  7. (with Juan Davila, Manuel del Pino, Jean Dolbeault and Monica Musso) Existence and stability of infinite time blow-up in the Keller-Segel system
  8. (with Manuel del Pino, Chen-Chih Lai, Monica Musso and Yifu Zhou) New type II Finite time blow-up for the energy supercritical heat equation
  9. (with Manuel del Pino, Monica Musso, Qidi Zhang and Yifu Zhou) Type II Finite time blow-up for the three dimensional energy critical heat equation
  10. (with Teresa D'Aprile and Lei Zhang) On non-simple blow up solutions of Liouville equation
  11. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  12. (with M. Fazly and W. Yang) Classification of finite Morse index solutions of higher-order Gelfand-Liouville equation
  13. (with Daniel Gomez) Existence and Stability of a Boundary Layer with an Interior Spike in the Singularly Perturbed Shadow Gierer-Meinhardt System
  14. (with Changfeng Gui, Tuoxin Li and Zikai Ye) On Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^6$
  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 Jin, H. Liu, Y. Liu, and Z.Liu) The number of positive solutions for n-coupled elliptic system
  18. (with Mingxiang Li) Higher order Bol's inequality and its applications
  19. (with Zaizheng Li, Qidi Zhang and Yifu Zhou) Long-time dynamics for the energy critical heat equation in $R^5$
  20. (with Yong Liu and Frank Pacard) Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
  21. (with Yong Liu and Kelei Wang) Stability of saddle solutions for the Allen Cahn equation
  22. (with Yong Liu, Zhengping Wang and Wen Yang) From KP-I lump solution to travelling waves of Gross-Pitaevskii equation
  23. (with Yong Liu and Wen Yang) Uniqueness of lump solutions of KP-I equations
  24. (with Yong Liu and Wen Yang) Lump type solutions: Backlund transformation and spectral properties
  25. (with Lorena Aguirre Salazar and Xin Yang Lu) An Ohta-Kawasaki Model set on the space
  26. (with Senping Luo) On minima of difference of Epstein zeta functions and exact solutions to Lennard-Jones lattice energy
  27. (with Senping Luo and Wenming Zou) On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials
  28. (with Senping Luo) On lattice hexagonal crystallization for non-monotone potentials
  29. (with Senping Luo) On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions
  30. (with CS Lin and Z. Nie) Classification of solutions to general Toda systems with singular sources
  31. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  32. (with Yannick Sire and Y. Zheng) Infinite time bubbling for the $SU(2)$ Yang-Mills heat flow on $\mathbb{R}^4$
  33. (with Yannick Sire, Y. Zheng and Y. Zhou) Finite-time singularity formation for the heat flow of the $H$-system
  34. (with Kelei Wang) Nonexistence of Type II blowups for an energy critical nonlinear heat equation
  35. (with M. Winter) Stability of new spike solutions in a supply chain model
  36. (with Yuanze Wu) Stability of the Caffarelli-Kohn-Nirenberg inequality: the existence of minimizers
  37. (with Zikai Ye, Xiaoyu Zeng and Q. Zhang) Co-existence of Type II blow-ups with multiple blow-up rates for five-dimensional heat equation with critical nonlinear boundary conditions
  38. (with Lei Zhang) Laplacian vanishing theorem for quantized singular Liouville equation
  39. (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,
  40. (with Qidi Zhang and Yifu Zhou) Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
  41. (with Qidi Zhang and Yifu Zhou) Trichotomy dynamics of the 1-equivariant harmonic map flow

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