Prof. Jingang Xiong (熊金钢)

Contact Information

Address Main Building 1216, School of Mathematical Sciences,
Beijing Normal University, Beijing 100875, China
Email jx@bnu.edu.cn
ORCID https://orcid.org/0000-0002-5689-1047

Curriculum Vitae

中文版 English Version

Preprints & Publications

  1. First law of thermodynamics for interacting charged black holes and applications (with Q. Han, M. Khuri and G. Weinstein). Preprint. arXiv
  2. Sharp Sobolev inequalities under first moment constraints (with R. Frank, T. Jin and H. Wang). Preprint. arXiv
  3. Boundary regularity for fractional porous medium-type equations in bounded domains (with M. Hou, T. Jin). Preprint. arXiv
  4. Isolated singularities of solutions to the Yamabe equation in higher dimensions II (with Z.-C. Han, Q. Jiang, H. Wang and L. Zhang). Preprint. arXiv
  5. Isolated singularities of solutions to the Yamabe equation in higher dimensions I (with Z.-C. Han, Q. Jiang, H. Wang and L. Zhang). Preprint. arXiv
  6. Electrovacuum Black Hole Uniqueness (with Q. Han, M. Khuri and G. Weinstein). Preprint. arXiv
  7. Optimal regularity and fine asymptotics for very fast diffusion equations in bounded domains (with T. Jin, X. Tu and Z. Zheng). Preprint. arXiv
  8. Schauder estimates for the linearized very fast diffusion equations in bounded domains (with T. Jin, X. Tu and Z. Zheng). Preprint. arXiv
  9. {\L}ojasiewicz-Simon inequalities near bubbling configurations for the Yamabe functional on bounded domains (with T. Jin and N. Zhou). Preprint. arXiv
  10. Kerr Black Hole Uniqueness (with Q. Han, M. Khuri and G. Weinstein). Preprint. arXiv
  11. The Critical Semilinear Elliptic Equation with Isolated Boundary Singularities II (with H.-Y. Wang). Preprint. arXiv
  12. Existence of non-radial entire solutions for the H\'enon equation beyond even exponents (with Q. Jiang). Preprint. arXiv
  13. Optimal Weighted Smoothing and Asymptotics of Ancient Solutions for Fast Diffusion Equations (with B. Choi, X. Jiang and H.-Y. Wang). Preprint. arXiv
  14. Extremal Alexandrov estimates: singularities, obstacles, and stability (with T. Jin and X. Tu). Preprint. arXiv
  15. On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates (with J. Ji). Preprint. arXiv
  16. The Mass-Angular Momentum Inequality for Multiple Black Holes (with Q. Han, M. Khuri and G. Weinstein). Preprint. arXiv
  17. Asymptotic analysis of harmonic maps with prescribed singularities (with Q. Han, M. Khuri and G. Weinstein). Annals of PDE 12 (2026). Art. No. 21. arXiv
  18. On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem (with T. Jin and X. Tu). Accepted by Communications in Analysis and Geometry. arXiv
  19. Sharp global Alexandrov estimates and entire solutions of Monge-Amp\`ere equationss (with T. Jin and X. Tu). Math. Ann. 395 (2026). Art. No. 41. arXiv
  20. Extinction profiles for the Sobolev critical fast diffusion equation in bounded domains. I. One bubble dynamics (with T. Jin). Arch. Ration. Mech. Anal. 250 (2026), no. 2, Paper No. 14. arXiv
  21. Regularity and classification of the free boundary for a Monge-Amp\`ere obstacle problem (with T. Jin and X. Tu). Adv. Math 482 (2025), Art. No. 110602. arXiv
  22. Regularity of solutions to the Dirichlet problem for fast diffusion equations (with T. Jin). Adv. Math 478 (2025), Art. No. 110390. arXiv
  23. A survey of the isolated singularity problems for the Yamabe equation (in Chinese, joint with X. Du, T. Jin and H. Yang). SCIENTIA SINICA Mathematica 55 (2025), 1029--1058.
  24. A dual Yamabe flow and related integral flows. Chin. Ann. Math. Ser. B. 45 (2024), 319--348. arXiv
  25. Holder regularity for the linearized porous medium equation in bounded domains (with T. Jin). Anal. Theory Appl. 40 (2024), 111--171. arXiv
  26. Stability of the separable solutions for a nonlinear boundary diffusion problem (with T. Jin and X. Yang). J. Math. Pures Appl. 183 (2024), 1--43. arXiv
  27. Optimal regularity and fine asymptotics for the porous medium equation in bounded domains (with T. Jin and X. Ros-Oton). J. Reine Angew. Math. 809 (2024), 269--300. arXiv
  28. Regularity of viscosity solutions of the $\sigma_k$-Loewner-Nirenberg problem (with Y.Y. Li and L. Nguyen). Proc. London Math. Soc. 127 (2023), no. 4, 1--34. arXiv
  29. Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric (with Z.-C. Han and L. Zhang). J. Funct. Anal. 285 (2023), 109982. arXiv
  30. Bubbling and extinction for some fast diffusion equations in bounded domains (with T. Jin). Trans. Amer. Math. Soc. Ser. B 10 (2023), 1287--1332. arXiv
  31. Blow up limits of the fractional Laplacian and their applications to the fractional Nirenberg problem (with X. Du, T. Jin and H. Yang). Proc. Amer. Math. Soc. 151 (2023), no. 11, 4693--4701. arXiv
  32. Optimal boundary regularity for fast diffusion equations in bounded domains (with T. Jin). Amer. J. Math. 145 (2023), no. 1, 151--220. arXiv
  33. Singular extinction profiles of solutions to some fast diffusion equations (with T. Jin). J. Funct. Anal. 283 (2022), 109595. arXiv
  34. Isolated singularities of solutions to the Yamabe equation in dimension 6 (with L. Zhang). Int. Math. Res. Not. (IMRN) Vol. 2022, No. 12, 9571--9597. arXiv
  35. On a Rayleigh-Faber-Krahn inequality for the regional fractional Laplacian (with T. Jin and D. Kriventsov). Ann. Appl. Math. 37 (2021), 363--393. arXiv
  36. Sharp Sobolev inequalities involving boundary terms revisited (with Z. Tang and N. Zhou).Calc. Var. Partial Differential Equations 60 (2021), no. 6, Paper No. 160, 26 pp. arXiv
  37. Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities (with T. Jin). Ann. Inst. Henri Poincare, Analyse Nonlineaire 38 (2021), 1167--1216. arXiv
  38. Existence of entire solutions of Monge-Amp\`ere equations with prescribed asymptotic behaviors (with J. Bao, Z. Zhou). Calc. Var. Partial Differential Equations 58 (2019), no. 6, Paper No. 193, 12 pp. arXiv
  39. Compactness of conformal metrics with constant $Q$-curvature. I (with Y.Y. Li). Adv. Math 345 (2019), 116--160. arXiv
  40. On the isoperimetric quotient over scalar-flat conformal classes (with T. Jin). Comm. Partial Differential Equations 43 (2018), no. 12, 1737--1760. arXiv
  41. A derivation of the sharp Moser-Trudinger-Onofri inequalities from the fractional Sobolev inequalities. Peking Math J. 1 (2018), no. 2, 221--229. arXiv
  42. On a conformally invariant integral equation involving Poisson kernel. Acta Mathematica Sinica, English Series 34 (2018), no. 4, 681--690. arXiv
  43. Minimizers for the fractional Sobolev inequality on domains (with R. L. Frank, T. Jin). Calc. Var. Partial Differential Equations 57 (2018), no. 2, Art. 43, 31 pp. arXiv
  44. Compactness of solutions to nonlocal elliptic equations (with M. Niu, Z. Peng). J. Funct. Anal. 275(2018), 2333--2372. arXiv
  45. The critical semilinear elliptic equation with boundary isolated singularities. J. Differential Equations 263 (2017), no. 3, 1907--1930.
  46. On local behavior of singular positive solutions to nonlocal elliptic equations (with T. Jin, O S. de Queiroz, Y. Sire). Calc. Var. Partial Differential Equations 56 (2017), no. 1, Art. 9, 25 pp. arXiv
  47. Classification theorems for solutions of higher order boundary conformally invariant problems, I (with L. Sun). J. Funct. Anal. 271 (2016), 3727--3764. arXiv
  48. The Nirenberg problem and its generalizations: A unified approach (with T. Jin, Y.Y. Li). Math. Ann. 369 (2017), no. 1-2, 109--151. arXiv
  49. Schauder estimates for nonlocal fully nonlinear equations (with T. Jin). Ann. Inst. Henri Poincare, Analyse Nonlineaire. 33 (2016), 1375--1407. arXiv
  50. Schauder estimates for solutions of linear parabolic integro-differential equations (with T. Jin). Discrete Contin. Dyn. Syst. 35 (2015), no 12, 5977--5998.
  51. Solutions of some Monge-Amp\`ere equations with isolated and line singularities (with T. Jin). Adv. Math 289 (2016), 114--141.
  52. Boundary Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates (with H. Dong). Int. Math. Res. Not. (IMRN) 2015 (2015), 7734--7756.
  53. A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds (with T. Jin). Trans. Amer. Math. Soc. 367 (2015), 6751--6770.
  54. On a fractional Nirenberg problem, part II: existence of solutions (with T. Jin, Y.Y. Li). Int. Math. Res. Not. (IMRN) 2015 (2015), no. 6, 1555--1589.
  55. Existence and asymptotics for solutions of a non-local $Q$-curvature equation in dimension three (with T. Jin, A. Maalaoui, L. Martinazzi). Calc. Var. Partial Differential Equations 52 (2015), no. 3-4, 469--488.
  56. A fractional Yamabe flow and some applications (with T. Jin). J. Reine Angew. Math. 696 (2014), 187--223.
  57. On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions (with T. Jin, Y.Y. Li). J. Eur. Math. Soc. (JEMS) 16 (2014), no. 6, 1111--1171.
  58. Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities (with L. Caffarelli, T. Jin, Y. Sire). Arch. Ration. Mech. Anal. 213 (2014), no. 1, 245--268.
  59. A Liouville theorem for solutions of degenerate Monge-Amp\`ere equations (with T. Jin). Comm. Partial Differential Equations 39 (2014), no. 2, 306--320.
  60. Sharp constants in weighted trace inequalities on Riemannian manifolds (with T. Jin). Calc. Var. Partial Differential Equations 48 (2013), no. 3-4, 555--585.
  61. Sharp regularity for elliptic systems associated with transmission problems (with J. Bao). Potential Anal. 39 (2013), no. 2, 169--194.
  62. $C^{1,1}$ estimates for elliptic equations with partial and piecewise continuous coefficients. Methods Appl. Anal. 18 (2011), no. 4, 373--389.
  63. A Harnack inequality for fractional Laplace equations with lower order terms (with J. Tan). Discrete Contin. Dyn. Syst. 31 (2011), no. 3, 975--983.
  64. The obstacle problem for Monge-Amp\`ere type equations in non-convex domains (with J. Bao). Commun. Pure Appl. Anal. 10 (2011), no. 1, 59--68.
  65. On J\"orgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Amp\`ere equations (with J. Bao). J. Differential Equations 250 (2011), no. 1, 367--385.