Ling Wang

Ling Wang

A math PhD at Peking University

Publications

  1. Flat level sets of Allen–Cahn equation in half-space (with W. K. Du, Y. Yang). Preprint (2024). | PDF | arXiv
  2. The partial Legendre transform in Monge–Ampère equations (with B. Zhou). Surveys in Geometric Analysis (2024). | PDF
  3. Interior Hölder regularity of the linearized Monge–Ampère equation. Calc. Var. Partial Differential Equations, 64 (2025), no. 1, Paper No. 17. | doi | PDF | arXiv
  4. C1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint (2024). | PDF | arXiv
  5. 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
  6. Singular Abreu equations and linearized Monge–Ampère equations with drifts (with Y. H. Kim, N. Q. Le, B. Zhou). To appear in J. Eur. Math. Soc. (JEMS). | doi | PDF | arXiv
  7. Interior estimates for Monge-Ampère type fourth order equations (with B. Zhou). Rev. Mat. Iberoam., 39 (2023), no. 5, 1895–1923. | doi | PDF | arXiv
  8. Refined stability estimates in electrical impedance tomography with multi-layer structure (with H. G. Li, J. -N. Wang). Inverse Probl. Imaging, 16 (2022), no. 1, 229–249. | doi | PDF
  9. 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 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
  • The partial Legendre transform in Monge–Ampère equations (with B. Zhou). Surveys in Geometric Analysis (2024). | PDF

Monge–Ampère type Fourth-order Equations

  • Singular Abreu equations and linearized Monge–Ampère equations with drifts (with Y. H. Kim, N. Q. Le, B. Zhou). To appear in J. Eur. Math. Soc. (JEMS). | 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

Inverse Problems

  • Refined stability estimates in electrical impedance tomography with multi-layer structure (with H. G. Li, 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