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) Nonhomothetic complete periodic metrics with constant scalar curvature
  4. (with Joao H. Andrade, Jeffrey Case and Paolo Piccone) A general nonuniqueness result for Yamabe-type problems for conformally variational Riemannian invariants
  5. (with Joao H. Andrade and Paolo Piccone) Nonuniqueness results for constant sixth order Q-curvature metrics on Einstein manifolds
  6. (with Joao H. Andrade, AZAHARA DELATORRE, JO˜AO MARCOS DO O and JESSE RATZKIN) CLASSIFICATION OF FRACTIONAL, SINGULAR YAMABE METRICS ON A TWICE-PUNCTURED SPHERE I
  7. (with WW Ao and J. Yang) Vortex helices for inhomogeneous Gross-Pitaevskii equation in three dimensional spaces
  8. (with D. Bartolucci, Y. Hu, A. Jevnikar and Wen Yang) A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions
  9. (with D. Bartolucci, A. Jevnikar and R. Wu) Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited
  10. (with Henri Berestycki and Cole Graham) Uniqueness and Multiplicity of Semilinear Elliptic Equations in Unbounded Domains
  11. (with Daomin Cao and Weicheng Zhan) Symmetry in Serrin-type overdetermined problems
  12. (with H. Chan and Y.Liu) Existence and instability of deformed catenoidal solutions for fractional Allen-Cahn equation
  13. (with B. Chen, Y. Guo, S. Zhang) The $L^2$-Critical Limiting Behavior of Ground States for Fermionic Quantum Systems
  14. (with Haixia Chen and S. Kim) Sharp quantitative stability estimates for the Brezis-Nirenberg problem
  15. (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
  16. (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
  17. (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
  18. (with Teresa D'Aprile and Lei Zhang) High order vanishing theorems for nonsimple blowup solutions of singular Liouville equation
  19. (with Y. Ding and Z. Liu) Multiplicity and concentration of semi-classical solutions to nonlinear Dirac equations
  20. (with Liuwei Gong and Seunghyeok Kim ) Compactness of $Q-$-curvature problem
  21. (with Changfeng Gui, S. Lai, Yong Liu and Wen Yang ) From KP-I lump solution to travelling wave of 3D gravity capillary water wave problem
  22. (with Changfeng Gui, S. Lai, Yong Liu and Wen Yang ) STABILITY OF SOLITARY CAPILLARY-GRAVITY WATER WAVES IN THREE DIMENSIONS
  23. (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity
  24. (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order
  25. (with Yujin Guo and Yong Luo) Classification and Nondegeneracy of Cubic Nonlinear Schr¨odinger System in R
  26. (with J. He, Qinfeng Li and and H. Yang) Flow approach on Riesz type nonlocal energies
  27. (with Fanze Kong and Xiaoyu Zeng) Existence and Blow-up Profiles of Ground States in Second Order Multi-population Mean-field Games Systems
  28. (with J. He, Q. Li, H. Yang) Flow approach on Riesz type nonlocal energies
  29. (with T. Kolokolnikov and S. Xie) Localized patterns in the Gierer-Meinhardt model on a cycle graph
  30. (with T. Li, X. Luo and M. Zhen) Uniqueness and symmetry breaking for ground states of spinor Bose-Einstein condensates
  31. (with T. Li and H. Yang) INFINITELY MANY SOLUTIONS FOR THE PRESCRIBED SCALAR CURVATURE PROBLEM WITH VOLCANO-LIKE CURVATURE
  32. (with Mingxiang Li) Higher order Bol's inequality and its applications
  33. (with Mingxiang Li and Xingwang Xu) On geometry of $Q^{(2k)}_g$-curvature
  34. (with Qinfeng Li and Ruofei Yao) Monotonicity properties of the Robin torsion function in a class of symmetric planar domains
  35. (with Yong Liu and Frank Pacard) Bouncing Jacobi fields and the Allen-Cahn equation on surfaces
  36. (with Yong Liu and Kelei Wang) Stability of saddle solutions for the Allen Cahn equation
  37. (with Yong Liu, Zikai Ye) Stable solutions of U(1)-Yang-Mills-Higgs Model in R^4
  38. (with Senping Luo) On extremum of quotient of Theta and Zeta functions and their applications
  39. (with Senping Luo and Wenming Zou) On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials
  40. (with Senping Luo) On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions
  41. (with H. Matano) On anisotropic curvature flows (paper written in 1997)
  42. (with Yannick Sire and Y. Zheng) Infinite time bubbling for the $SU(2)$ Yang-Mills heat flow on $\mathbb{R}^4$
  43. (with Yannick Sire, Y. Zheng and Y. Zhou) Finite-time singularity formation for the heat flow of the $H$-system
  44. (with Liming Sun and Wen Yang) On Brezis' First Open Problem: A Complete Solution
  45. (with Liming Sun and Wen Yang) On 3D Brezis-Nirenberg Problem with small parameter
  46. (with J. Sun and W. Zhou ) On lattice energy minimization problem for non-completely monotone functions and applications
  47. (with Kelei Wang) Nonexistence of Type II blowups for an energy critical nonlinear heat equation
  48. (with Kelei Wang and Ke Wu) Quantitative stratification for the fractional Allen-Cahn equation and stationary nonlocal minimal surface
  49. (with M. Winter) Stability of new spike solutions in a supply chain model
  50. (with Yuanze Wu) Stability of the Caffarelli-Kohn-Nirenberg inequality along Felli-Schneider curve: critical points at infinity
  51. (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
  52. (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,
  53. (with Qidi Zhang and Yifu Zhou) Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two

Go back to my home page