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, Tobias Konig and Jesse Ratzkin) Quantitative stability of the total Q-curvature nea minimizing metrics
  3. (with Joao H. Andrade, Jeffrey Case and Paolo Piccone) A general nonuniqueness result for Yamabe-type problems for conformally variational Riemannian invariants
  4. (with Joao H. Andrade and Paolo Piccone) Nonuniqueness results for constant sixth order Q-curvature metrics on Einstein manifolds
  5. (with WW Ao and M. Winter) Stable spikes for a reaction-diffusion system modeling color pattern formation
  6. (with WW Ao and J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  7. (with H. Chan and Y.Liu) Existence and instability of deformed catenoidal solutions for fractional Allen-Cahn equation
  8. (with B. Chen, Y. Guo, S. Zhang) The $L^2$-Critical Limiting Behavior of Ground States for Fermionic Quantum Systems
  9. (with H. Chen, S. Kim) Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities
  10. (with Marco Cirant, Fanze Kong and Xiaoyu Zeng) Critical Mass Phenomena and Blow-up behavior of Ground States in stationary second order Mean-Field Games systems with decreasing cost
  11. (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
  12. (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
  13. (with Teresa D'Aprile and Lei Zhang) High order vanishing theorems for nonsimple blowup solutions of singular Liouville equation
  14. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  15. (with Changfeng Gui, Tuoxin Li and Zikai Ye) On Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^6$
  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 Yujin Guo and Yong Luo) Classification and Nondegeneracy of Cubic Nonlinear Schr¨odinger System in R
  19. (with Fanze Kong and Xiaoyu Zeng) Existence and Blow-up Profiles of Ground States in Second Order Multi-population Mean-field Games Systems
  20. (with T. Kolokolnikov and S. Xie) Localized patterns in the Gierer-Meinhardt model on a cycle graph
  21. (with M. Li, T. Li and M. Zhen) On Spin-2 Bose-Einstein condensates: classification and dynamic behavior of ground states
  22. (with Mingxiang Li) Higher order Bol's inequality and its applications
  23. (with Mingxiang Li) A Remark On Case-Gursky-V\'etois identity and its applications
  24. (with M.Li, X. Luo and M. Zhen) On ground states of spin-1 Bose-Einstein condensates with Ioffe-Pritchard magnetic field in 2D and 3D
  25. (with Yong Liu and Frank Pacard) Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
  26. (with Yong Liu and Kelei Wang) Stability of saddle solutions for the Allen Cahn equation
  27. (with Yong Liu, Zhengping Wang and Wen Yang) From KP-I lump solution to travelling waves of Gross-Pitaevskii equation
  28. (with Yong Liu, Zikai Ye) Stable solutions of U(1)-Yang-Mills-Higgs Model in R^4
  29. (with C. Long and W. Zou) The classification of critical points of Heat kernel on tori and application to elliptic equation and Mueller-Ho conjecture
  30. (with Lorena Aguirre Salazar and Xin Yang Lu) An Ohta-Kawasaki Model set on the space
  31. (with Senping Luo) On minima of difference of Epstein zeta functions and exact solutions to Lennard-Jones lattice energy
  32. (with Senping Luo) On extremum of quotient of Theta and Zeta functions and their applications
  33. (with Senping Luo and Wenming Zou) On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials
  34. (with Senping Luo) On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions
  35. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  36. (with X. Ren and C. Wang) A Geometric Variational Problem with Logrithmic-Quadratic Interaction
  37. (with Yannick Sire and Y. Zheng) Infinite time bubbling for the $SU(2)$ Yang-Mills heat flow on $\mathbb{R}^4$
  38. (with Yannick Sire, Y. Zheng and Y. Zhou) Finite-time singularity formation for the heat flow of the $H$-system
  39. (with J. Sun and W. Zhou ) On lattice energy minimization problem for non-completely monotone functions and applications
  40. (with Kelei Wang) Nonexistence of Type II blowups for an energy critical nonlinear heat equation
  41. (with Kelei Wang and Ke Wu) F-stability, entropy and energy gap for supercritical Fujita equation
  42. (with M. Winter) Stability of new spike solutions in a supply chain model
  43. (with Yuanze Wu) Stability of the Caffarelli-Kohn-Nirenberg inequality along Felli-Schneider curve: critical points at infinity
  44. (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
  45. (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,
  46. (with Yifu Zhou) Some global solutions to the energy-critical semilinear heat equation
  47. (with Qidi Zhang and Yifu Zhou) Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
  48. (with Qidi Zhang and Yifu Zhou) Trichotomy dynamics of the 1-equivariant harmonic map flow

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