Publications

  1. Asymptotic expansions of the fundamental solution for a mixed local–nonlocal operator (with C. M. Li and J. D. Xie). Preprint (2026). [PDF] [arXiv]
  2. Interior C1,α estimates for the linearized Monge–Ampère equation in two dimensions (with B. Zhou). Preprint (2026). [PDF] [arXiv]
  3. Liouville-type theorems for coupled-drift Monge–Ampère equations. Preprint (2026). [PDF] [arXiv]
  4. Min-max construction of anisotropic minimal surfaces with genus bound (with A. De Rosa and A. Halavati). Preprint (2026). [PDF] [arXiv]
  5. Local potential and Hölder estimates for the linearized Monge–Ampère equation (with G. Q. Cui and B. Zhou). Preprint (2025). [PDF] [arXiv]
  6. Flat level sets of Allen–Cahn equation in half-space (with W. K. Du and Y. Yang). Preprint (2024). [PDF] [arXiv]
  7. The partial Legendre transform in Monge–Ampère equations (with B. Zhou). Surveys in Geometric Analysis (2024). [PDF]
  8. Interior Hölder regularity of the linearized Monge–Ampère equation. Calc. Var. Partial Differential Equations, 64 (2025), no. 1, Paper No. 17. [doi] [PDF] [arXiv]
  9. C1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint (2024). [PDF] [arXiv]
  10. Liouville theorems for a class of degenerate or singular Monge–Ampère equations (with B. Zhou). J. Geom. Anal., 34 (2024), no. 11, Paper No. 352. [doi] [PDF] [arXiv]
  11. Singular Abreu equations and linearized Monge–Ampère equations with drifts (with Y. H. Kim, N. Q. Le, and B. Zhou). J. Eur. Math. Soc. (JEMS), 28 (2026), no. 9, 4105–4148. [doi] [PDF] [arXiv]
  12. Interior estimates for Monge–Ampère type fourth order equations (with B. Zhou). Rev. Mat. Iberoam., 39 (2023), no. 5, 1895–1923. [doi] [PDF] [arXiv]
  13. Refined stability estimates in electrical impedance tomography with multi-layer structure (with H. G. Li and J.-N. Wang). Inverse Probl. Imaging, 16 (2022), no. 1, 229–249. [doi] [PDF]
  14. Improving photocatalytic water reduction activity for In2TiO5 by loading metal cocatalysts (with K. Song, J. Yang, Y. Sun, Z. Y. Wang, R. H. Cong, and T. Yang). J. Alloys Compd., 2015, 646: 277–282. [doi] [PDF]

Monge–Ampère Equations

  • Interior C1,α estimates for the linearized Monge–Ampère equation in two dimensions (with B. Zhou). Preprint (2026). [PDF] [arXiv]
  • Liouville-type theorems for coupled-drift Monge–Ampère equations. Preprint (2026). [PDF] [arXiv]
  • Local potential and Hölder estimates for the linearized Monge–Ampère equation (with G. Q. Cui and B. Zhou). Preprint (2025). [PDF] [arXiv]
  • The partial Legendre transform in Monge–Ampère equations (with B. Zhou). Surveys in Geometric Analysis (2024). [PDF]
  • Interior Hölder regularity of the linearized Monge–Ampère equation. Calc. Var. Partial Differential Equations, 64 (2025), no. 1, Paper No. 17. [doi] [PDF] [arXiv]
  • Liouville theorems for a class of degenerate or singular Monge–Ampère equations (with B. Zhou). J. Geom. Anal., 34 (2024), no. 11, Paper No. 352. [doi] [PDF] [arXiv]

Monge–Ampère Type Fourth-Order Equations

  • Singular Abreu equations and linearized Monge–Ampère equations with drifts (with Y. H. Kim, N. Q. Le, and B. Zhou). J. Eur. Math. Soc. (JEMS), 28 (2026), no. 9, 4105–4148. [doi] [PDF] [arXiv]
  • Interior estimates for Monge–Ampère type fourth order equations (with B. Zhou). Rev. Mat. Iberoam., 39 (2023), no. 5, 1895–1923. [doi] [PDF] [arXiv]

Geometric and Variational Problems

  • Min-max construction of anisotropic minimal surfaces with genus bound (with A. De Rosa and A. Halavati). Preprint (2026). [PDF] [arXiv]
  • Flat level sets of Allen–Cahn equation in half-space (with W. K. Du and Y. Yang). Preprint (2024). [PDF] [arXiv]
  • C1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint (2024). [PDF] [arXiv]

Local and Nonlocal Elliptic Problems

  • Asymptotic expansions of the fundamental solution for a mixed local–nonlocal operator (with C. M. Li and J. D. Xie). Preprint (2026). [PDF] [arXiv]
  • Refined stability estimates in electrical impedance tomography with multi-layer structure (with H. G. Li and J.-N. Wang). Inverse Probl. Imaging, 16 (2022), no. 1, 229–249. [doi] [PDF]

Other Topics

  • Improving photocatalytic water reduction activity for In2TiO5 by loading metal cocatalysts (with K. Song, J. Yang, Y. Sun, Z. Y. Wang, R. H. Cong, and T. Yang). J. Alloys Compd., 2015, 646: 277–282. [doi] [PDF]