Publications

  1. Liouville-type theorems for coupled-drift Monge–Ampère equations. Preprint (2026). [PDF] [arXiv]
  2. Min-max construction of anisotropic minimal surfaces with genus bound (with A. De Rosa and A. Halavati). Preprint (2026). [PDF] [arXiv]
  3. Local potential and Hölder estimates for the linearized Monge–Ampère equation (with G. Q. Cui and B. Zhou). Preprint (2025). [PDF] [arXiv]
  4. Flat level sets of Allen–Cahn equation in half-space (with W. K. Du and Y. Yang). Preprint (2024). [PDF] [arXiv]
  5. The partial Legendre transform in Monge–Ampère equations (with B. Zhou). Surveys in Geometric Analysis (2024). [PDF]
  6. Interior Hölder regularity of the linearized Monge–Ampère equation. Calc. Var. Partial Differential Equations, 64 (2025), no. 1, Paper No. 17. [doi] [PDF] [arXiv]
  7. C1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint (2024). [PDF] [arXiv]
  8. 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]
  9. 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]
  10. Interior estimates for Monge–Ampère type fourth order equations (with B. Zhou). Rev. Mat. Iberoam., 39 (2023), no. 5, 1895–1923. [doi] [PDF] [arXiv]
  11. 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]
  12. 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]

Minimal Surfaces

Monge–Ampère Equations

  • 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]

Variational Problems

  • C1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint (2024). [PDF] [arXiv]

Allen–Cahn Equations

  • Flat level sets of Allen–Cahn equation in half-space (with W. K. Du and Y. Yang). Preprint (2024). [PDF] [arXiv]

Inverse Problems

  • 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]

Others

  • 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]