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 J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  6. (with Henri Berestycki and Cole Graham) Uniqueness and Multiplicity of Semilinear Elliptic Equations in Unbounded Domains
  7. (with Daomin Cao and Weicheng Zhan) Symmetry in Serrin-type overdetermined problems
  8. (with H. Chan and Y.Liu) Existence and instability of deformed catenoidal solutions for fractional Allen-Cahn equation
  9. (with B. Chen, Y. Guo, S. Zhang) The $L^2$-Critical Limiting Behavior of Ground States for Fermionic Quantum Systems
  10. (with Haixia Chen and S. Kim) Sharp quantitative stability estimates for the Brezis-Nirenberg problem
  11. (with S. Cui, L. Wang, Wendong Wang) On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow
  12. (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
  13. (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
  14. (with Teresa D'Aprile and Lei Zhang) High order vanishing theorems for nonsimple blowup solutions of singular Liouville equation
  15. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  16. (with Liuwei Gong and Seunghyeok Kim ) Compactness of $Q-$-curvature problem
  17. (with Changfeng Gui, Tuoxin Li and Zikai Ye) On Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^6$
  18. (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
  19. (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
  20. (with Yujin Guo and Yong Luo) Classification and Nondegeneracy of Cubic Nonlinear Schr¨odinger System in R
  21. (with J. He, Qinfeng Li and and H. Yang) Flow approach on Riesz type nonlocal energies
  22. (with Fanze Kong and Liangshu Xu) Multi-spots Steady States in Two-species Keller-Segel Models with Logistic Growth: Large Chemotactic Attraction Regime
  23. (with Fanze Kong and Xiaoyu Zeng) Existence and Blow-up Profiles of Ground States in Second Order Multi-population Mean-field Games Systems
  24. (with J. He, Q. Li, H. Yang) Flow approach on Riesz type nonlocal energies
  25. (with T. Kolokolnikov and S. Xie) Localized patterns in the Gierer-Meinhardt model on a cycle graph
  26. (with T. Li, X. Luo and M. Zhen) Uniqueness and symmetry breaking for ground states of spinor Bose-Einstein condensates
  27. (with Mingxiang Li) Higher order Bol's inequality and its applications
  28. (with Mingxiang Li and Xingwang Xu) On geometry of $Q^{(2k)}_g$-curvature
  29. (with Yong Liu and Frank Pacard) Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
  30. (with Yong Liu and Kelei Wang) Stability of saddle solutions for the Allen Cahn equation
  31. (with Yong Liu, Zhengping Wang and Wen Yang) From KP-I lump solution to travelling waves of Gross-Pitaevskii equation
  32. (with Yong Liu, Zikai Ye) Stable solutions of U(1)-Yang-Mills-Higgs Model in R^4
  33. (with Senping Luo) On extremum of quotient of Theta and Zeta functions and their applications
  34. (with Senping Luo and Wenming Zou) On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials
  35. (with Senping Luo) On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions
  36. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  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 Liming Sun and Wen Yang) On Brezis' First Open Problem: A Complete Solution
  40. (with Liming Sun and Wen Yang) On 3D Brezis-Nirenberg Problem with small parameter
  41. (with J. Sun and W. Zhou ) On lattice energy minimization problem for non-completely monotone functions and applications
  42. (with Kelei Wang) Nonexistence of Type II blowups for an energy critical nonlinear heat equation
  43. (with Kelei Wang and Ke Wu) A Liouville Theorem for Supercritical Fujita and Its Applications
  44. (with Kelei Wang and Ke Wu) Quantitative stratification for the fractional Allen-Cahn equation and stationary nonlocal minimal surface
  45. (with M. Winter) Stability of new spike solutions in a supply chain model
  46. (with Yuanze Wu) Stability of the Caffarelli-Kohn-Nirenberg inequality along Felli-Schneider curve: critical points at infinity
  47. (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
  48. (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,
  49. (with Qidi Zhang and Yifu Zhou) Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
  50. (with Qidi Zhang and Yifu Zhou) Trichotomy dynamics of the 1-equivariant harmonic map flow

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