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 Introduction Publications Talks Chinese Introduction

1. Li, Chao; Li, Jiayu; Zhang, Xi, A mean value formula and a Liouville theorem for the complex Monge-Ampère equation. Int. Math. Res. Not. IMRN 2020, no. 3, 853–867.

2. Li, Jiayu; Wan, Fangshu, Bôcher-type theorem on $$n$$-dimensional manifolds with conical metric. Proc. Amer. Math. Soc. 147 (2019), no. 10, 4527–4538.

3. Li, Jiayu; Zhu, Chaona, The convergence of the mean field type flow at a critical case. Calc. Var. Partial Differential Equations 58 (2019), no. 2, Paper No. 60, 18 pp.

4. Li, Jiayu; Zhu, Xiangrong, Energy identity and necklessness for a sequence of Sacks–Uhlenbeck maps to a sphere, Ann. Inst. H. Poincare Anal. Non Lineaire 36 (2019), no. 1, 103–118.

5. Han, Xiaoli; Li, Jiayu; Sun, Jun, The deformation of symplectic critical surfaces in a Kähler surface-I, Int. Math. Res. Not. IMRN (2018), no. 20, 6290-6328.

6. Li, Jiayu; Zhang, Chuanjing; Zhang, Xi, A note on curvature estimate of the Hermitian-Yang-Mills flow, Commun. Math. Stat. 6 (2018), no. 3, 319-358.

7. Li, Chao; Li, Jiayu; Zhang, Xi, A $$C^{2,\alpha}$$ estimate of the complex Monge-Ampère equation, J. Funct. Anal. 275 (2018), no. 1, 149-169.

8. Han, Xiaoli; Li, Jiayu; Zhao, Liang, A mean-curvature flow along a Kähler-Ricci flow, Internat. J. Math. 29 (2018), no. 1, 1850006, 25 pp.

9. Li, Jiayu; Zhang, Chuanjing; Zhang, Xi, The limit of the Hermitian-Yang-Mills flow on reflexive sheaves, Adv. Math. 325 (2018), 165-214.

10. Li, Jiayu; Zhang, Yongbing, Lagrangian F-stability of closed Lagrangian self-shrinkers, J. Reine Angew. Math. 733 (2017), 1-23.

11. Li, Jiayu; Zhang, Chuanjing; Zhang, Xi, The Hermitian-Yang-Mills flow on Higgs sheaves, (Chinese) J. Univ. Sci. Technol. China 47 (2017), no. 2, 87-98.

12. Han, Xiaoli; Li, Jiayu; Sun, Jun, The deformation of symplectic critical surfaces in a Kähler surface-II-compactness, Calc. Var. Partial Differential Equations 56 (2017), no. 3, Art. 84, 22 pp.

13. Li, Jiayu; Zhang, Chuanjing; Zhang, Xi, Semi-stable Higgs sheaves and Bogomolov type inequality, Calc. Var. Partial Differential Equations 56 (2017), no. 3, Art. 81, 33 pp.

14. Li, Jiayu; Zhang, Xi, The limit of the Yang-Mills-Higgs flow on Higgs bundles, Int. Math. Res. Not. IMRN (2017), no. 1, 232-276.

15. Li, Jiayu; Sun, Linlin, A note on the nonexistence of quasi-harmonic spheres, Calc. Var. Partial Differential Equations 55 (2016), no. 6, Art. 151, 13 pp.

16. Han, Xiaoli; Li, Jiayu; Sun, Jun, The symplectic critical surfaces in a Kähler surface, Geometry and topology of manifolds, 185-193, Springer Proc. Math. Stat. 154, Springer, 2016.

17. Li, Jiayu; Zhang, Xi, Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles, Calc. Var. Partial Differential Equations 52 (2015), no. 3-4, 783-795.

18. Han, Xiaoli; Li, Jiayu, The second variation of the functional L of symplectic critical surfaces in Kähler surfaces, Commun. Math. Stat. 2 (2014), no. 3-4, 311-330.

19. Li, Jiayu; Yang, Liuqing, Symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvatures, Geom. Dedicata 170 (2014), 63-69.

20. Li, Jiayu; Yang, Liuqing, Generalized symplectic mean curvature flows in almost Einstein surfaces, Chin. Ann. Math. Ser. B 35 (2014), no. 1, 33-50.

21. Chen, Jingyi; Li, Jiayu, Detecting quaternionic maps between hyperkähler manifolds, Commun. Math. Stat. 1 (2013), no. 3, 305-314.

22. Li, Jiayu; Zhang, Xi, Progress on asymptotic behavior of the Yang-Mills-Higgs flow, Appl. Math. J. Chinese Univ. Ser. B 28 (2013), no. 4, 565-574.

23. Han, Xiaoli; Li, Jiayu; Yang, Liuqing, Symplectic mean curvature flow in $$\mathbb{CP}^2$$, Calc. Var. Partial Differential Equations 48 (2013), no. 1-2, 111-129.

24. Han, Xiaoli; Li, Jiayu, The Lagrangian mean curvature flow along the Kähler-Ricci flow, Recent developments in geometry and analysis, 147-154, Adv. Lect. Math. 23, Int. Press, Somerville, MA, 2012.

25. Li Jiayu; Zhu Xiangrong, Energy identity for the maps from a surface with tension field bounded in Lp, Pacific J. Math. 260 (2012), no. 1, 181-195.

26. Li, Jiayu; Li, Yuxiang; Liu, Pan, The $$Q$$-curvature on a 4-dimensional Riemannian manifold $$(M, g)$$ with $$\displaystyle\int_MQ\mathrm{d}v_g=8\pi^2$$, Adv. Math. 231 (2012), no. 3-4, 2194-2223.

27. Li, Jiayu; Yang, Yunyan, Nonexistence of quasi-harmonic spheres with large energy, Manuscripta Math. 138 (2012), no. 1-2, 161-169.

28. Li, Jiayu; Zhu, Xiangrong, Small energy compactness for approximate harmonic mappings, Commun. Contemp. Math. 13 (2011), no. 5, 741-763.

29. Li Jiayu; Zhang, Xi, The gradient flow of Higgs pairs, J. Eur. Math. Soc. 13 (2011), no. 5, 1373–1422.

30. Li Jiayu; Zhu, Xiangrong, Existence of 2D Skyrmions, Math. Z. 268 (2011), no. 1-2, 305-315.

31. Han, Xiaoli; Li, Jiayu; Sun, Jun, The second type singularities of symplectic and lagrangian mean curvature flows, Chin. Ann. Math. Ser. B 32 (2011), no. 2, 223-240.

32. Han, Xiaoli; Li, Jiayu, Symplectic critical surfaces in Kahler surfaces, J. Eur. Math. Soc. 12 (2010), no. 2, 505-527.

33. Li, Jiayu; Zhu, Xiangrong, Non existence of quasi-harmonic spheres, Calc. Var. Partial Differential Equations 37 (2010), no. 3-4, 441-460.

34. Han, Xiaoli; Li, Jiayu, Translating solitons to symplectic and Lagrangian mean curvature flows, Internat. J. Math. 20 (2009), no. 4, 443-458.

35. Han, Xiaoli; Li, Jiayu, Singularities of symplectic and Lagrangian mean curvature flows, Front. Math. China 4 (2009), no. 2, 283-296.

36. Li, Jiayu; Wang, Meng, Liouville theorems for self-similar solutions of heat flows, J. Eur. Math. Soc. 11 (2009), no. 1, 207-221.

37. Li, Jiayu, Variational approach to various nonlinear problems in geometry and physics, Front. Math. China 3 (2008), no. 2, 205-220.

38. Hsu, Deliang; Li, Jiayu, On the regularity for stationary harmonic maps, Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 2, 223-226.

39. Lan, Xiaohong; Li, Jiayu, Asymptotic behavior of the Chern-Simons Higgs 6-th theory, Comm. Partial Differential Equations 32 (2007), no. 10-12, 1473-1492.

40. Han, Xiaoli; Li, Jiayu, On symplectic mean curvature flows, Front. Math. China 2 (2007), no. 1, 47-60.

41. Chen, Qun; Jost, Jürgen; Li, Jiayu; Wang, Guofang, Dirac-harmonic maps, Math. Z. 254 (2006), no. 2, 409-432.

42. Ding, Weiyue; Li, Jiayu; Liu, Qingyue, Evolution of minimal torus in Riemannian manifolds, Invent. Math. 165 (2006), no. 2, 225-242.

43. Li, Jiayu; Li, Yuxiang, Solutions for Toda systems on Riemann surfaces, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), no. 4, 703-728.

44. Chen, Jingyi; Li, Jiayu, Quaternionic maps and minimal surfaces, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), no. 3, 375-388.

45. Li, Jiayu; Zhang, Xi, Quaternionic maps between quaternionic Kähler manifolds, Math. Z. 250 (2005), no. 3, 523-537.

46. Chen, Qun; Jost, Jürgen; Li, Jiayu; Wang, Guofang, Regularity theorems and energy identities for Dirac-harmonic maps, Math. Z. 251 (2005), no. 1, 61-84.

47. Li, Jia Yu; Ying, Yi Ming, Relations between local Hardy and Lorentz spaces, Chinese Ann. Math. Ser. A 26 (2005), no. 4, 459-462.

48. Han, Xiaoli; Li, Jiayu, The mean curvature flow approach to the symplectic isotopy problem, Int. Math. Res. Not. 2005, no. 26, 1611-1620.

49. Li, Jiayu; Sheng, Weimin, Deforming metrics with negative curvature by a fully nonlinear flow, Calc. Var. Partial Differential Equations 23 (2005), no. 1, 33-50.

50. Chen, Jingyi; Li, Jiayu, Singularity of mean curvature flow of Lagrangian submanifolds, Invent. Math. 156 (2004), no. 1, 25–51.

51. Guo, Zongming; Li, Jiayu, Partial regularity for weak solutions of semilinear elliptic equations with supercritical exponents, Pacific J. Math. 214 (2004), no. 1, 89-107.

52. Ding, Weiyue; Fan, Huijun; Li, Jiayu, Harmonic Hopf constructions between spheres II, Calc. Var. Partial Differential Equations 16 (2003), no. 3, 273-282.

53. Li, Jiayu; Li, Ye, Mean curvature flow of graphs in $$\Sigma_1\times\Sigma_2$$, J. Partial Differential Equations 16 (2003), no. 3, 255-265.

54. Ding, Weiyue; Li, Jiayu; Li, Wei, Nonstationary weak limit of a stationary harmonic map sequence, Comm. Pure Appl. Math. 56 (2003), no. 2, 270-277.

55. Guo, Zongming; Li, Jiayu, The blow up locus of semilinear elliptic equations with supercritical exponents, Calc. Var. Partial Differential Equations 15 (2002), no. 2, 133-153.

56. Chen, Jingyi; Li, Jiayu; Tian, Gang, Two-dimensional graphs moving by mean curvature flow, Acta Math. Sin. (Engl. Ser.) 18 (2002), no. 2, 209-224.

57. Jiao, Xiaoxiang; Li, Jiayu, The isoenergy inequality for harmonic maps from rotational symmetric manifolds, J. Partial Differential Equations 15 (2002), no. 1, 1-6.

58. Chen, Jingyi; Li, Jiayu, Mean curvature flow of surface in 4-manifolds, Adv. Math. 163 (2001), no. 2, 287-309.

59. Li, Jiayu, Narasimhan, MS, A note on Hermitian-Einstein metrics on parabolic stable bundles, Acta Math. Sin. (Engl. Ser.) 17 (2001), no. 1, 77-80.

60. Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Peng, Xiaowei; Wang, Guofang, Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials, Comm. Math. Phys. 217 (2001), no. 2, 383-407.

61. Li, Jiayu, The existence and convergence of heat flows, Progress in nonlinear analysis (Tianjin, 1999), 215-233, Nankai Ser. Pure Appl. Math. Theoret. Phys., 6, World Sci. Publ., River Edge, NJ, 2000.

62. Chen, Jingyi; Li, Jiayu, Quaternionic maps between hyperkahler manifolds, J. Differential Geom. 55 (2000), no. 2, 355-384.

63. Li, Jiayu, Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kahler manifolds, Comm. Anal. Geom. 8 (2000), no. 3, 445-475.

64. Li, Jiayu; Wang, Silei, The heat flow of harmonic maps from noncompact manifolds, Chinese Ann. Math. Ser. B 21 (2000), no. 1, 121-130.

65. Li, Jiayu; Tian, Gang, The blow-up locus of heat flows for harmonic maps, Acta Math. Sin. (Engl. Ser.) 16 (2000), no. 1, 29-62.

66. Li, Jiayu; Wang, Youde, Existence of Hermitian-Einstein metrics on stable Higgs bundles over open Kahler manifolds, Internat. J. Math. 10 (1999), no. 8, 1037-1052.

67. Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang, Existence results for mean field equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 5, 653-666.

68. Li, Jiayu; Wang, Youde, Parabolic stable Higgs bundles over complete noncompact Riemann surfaces, Sci. China Ser. A 42 (1999), no. 3, 255-263.

69. Li, Jiayu; Narasimhan, MS, Hermitian-Einstein metrics on parabolic stable bundles, Acta Math. Sin. (Engl. Ser.) 15 (1999), no. 1, 93-114.

70. Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang, Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere, Comment. Math. Helv. 74 (1999), no. 1, 118-142.

71. Li, Jiayu; Wang, Silei, The heat flows and harmonic maps from complete manifolds into regular balls, Bull. Austral. Math. Soc. 58 (1998), no. 2, 177-187.

72. Li, Jiayu; Tian, Gang, A blow-up formula for stationary harmonic maps, Internat. Math. Res. Notices 1998, no. 14, 735-755.

73. Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang, An analysis of the two-vortex case in the Chern-Simons Higgs model, Calc. Var. Partial Differential Equations 7 (1998), no. 1, 87-97.

74. Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang, The differential equation $$\Delta u=8\pi-8\pi h\mathrm{e}^u$$ on a compact Riemann surface. Asian J. Math. 1 (1997), no. 2, 230-248.

75. Ding, Weiyue; Li, Jiayu, A new proof of Hamilton's theorem on harmonic maps from manifolds with boundary, J. Partial Differential Equations 10 (1997), no. 2, 169-173.

76. Li, Jiayu, Hitchin's self-duality equations on complete Riemannian manifolds, Math. Ann. 306 (1996), no. 3, 419-428.

77. Jost, Jürgen; Li, Jiayu, Finite energy and totally geodesic maps from locally symmetric spaces of finite volume, Calc. Var. Partial Differential Equations 4 (1996), no. 5, 409-420.

78. Li, Jiayu; Shao, Xin, On the upper estimates of fundamental solutions of parabolic equations on Riemannian manifolds, Chinese Ann. Math. Ser. B 16 (1995), no. 1, 119-130.

79. Chen, Yunmei; Li, Jiayu; Lin, Fang-Hua, Partial regularity for weak heat flows into spheres, Comm. Pure Appl. Math. 48 (1995), no. 4, 429-448.

80. Li, Jiayu, Heat flows and harmonic maps with a free boundary, Math. Z. 217 (1994), no. 3, 487-495.

81. Li, Jiayu, The Sobolev inequality and Sobolev imbedding theorem for Riemannian manifolds with nonnegative Ricci curvature, Chinese Ann. Math. Ser. A 15 (1994), no. 4, 461-471.

82. Li, Jiayu; Wang, Silei, Existence of harmonic functions with finite energy on complete Riemannian manifolds, J. Partial Differential Equations 7 (1994), no. 3, 257-263.

83. Li, Jiayu; Shao, Xin, A Liouville theorem for a class of nonlinear elliptic equations, Acta Math. Sinica (N.S.) 10 (1994), Special Issue, 155-163.

84. Li, Jiayu, Spectrum of the Laplacian on a complete Riemannian manifold with nonnegative Ricci curvature which possess a pole, J. Math. Soc. Japan 46 (1994), no. 2, 213-216.

85. Li, Jiayu, Monotonicity formulas for $$p$$-harmonic maps from rotational symmetric manifolds, Differential geometry (Shanghai, 1991), 124-136, World Sci. Publ., River Edge, NJ, 1993.

86. Li, Jiayu, On the Harnack inequality for harmonic functions on complete Riemannian manifolds, Chinese Ann. Math. Ser. B 14 (1993), no. 1, 1-12.

87. Li, Jiayu, The Heat flows and harmonic maps of complete noncompact Riemannian manifolds, Math. Z. 212 (1993), no. 2, 161-173.

88. Li, Jiayu, Boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature, Proc. Amer. Math. Soc. 118 (1993), no. 4, 1075-1077.

89. Li, Jiayu, The problem of eigenvalue on noncompact complete Riemannian manifold, J. Partial Differential Equations 5 (1992), no. 4, 87-95.

90. Li, Jiayu, The spaces $$\Lambda_\alpha$$ of Lipschitz continuous functions on a complete Riemannian manifold with nonnegative curvature, J. Math. Res. Exposition 12 (1992), no. 1, 117-126.

91. Li, Jiayu, Gradient estimates and Harnack inequalities for Nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds, J. Funct. Anal. 100 (1991), no. 2, 233-256.

92. Li, Jiayu, Gradient estimate for the heat kernel of a complete Riemannian manifold and its applications, J. Funct. Anal. 97 (1991), no. 2, 293-310.

93. Li, Jiayu, The heat kernel on constant negative curvature space form, J. Partial Differential Equations 3 (1990), no. 3, 54-62.

94. Chen, Jiecheng; Li, Jiayu, A note on eigenvalues, Chinese Sci. Bull. 35 (1990), no. 7, 536-540.

95. Li, Jiayu, Global behavior of positive solutions of elliptic equations, J. Partial Differential Equations 2 (1989), no. 3, 83-96.

96. Chen, Jiecheng; Li, Jiayu, A note on eigenvalues, Kexue Tongbao (Chinese) 34 (1989), no. 9, 655-658.