I’m currently a PhD candidate at the School of Mathematical Sciences, Peking University, under the supervision of Bin Zhou.
My research interests lie primarily in geometric analysis and nonlinear PDEs, with a particular focus on Monge-Ampère type equations.
You can find me at Room 203, Building 19, Peking University.
Feel free to reach out to me via email at lingwang@stu.pku.edu.cn & lwmath@foxmail.com.
I’m always open to communication and collaboration!

This is my CV (Jan. 2025).

Publications

• Flat level sets of Allen-Cahn equation in half-space (with W. K. Du, and Y. Yang). Preprint. pdf  arXiv

• The partial Legendre transform in Monge-Ampère equations (with B. Zhou). Preprint. pdf

• Interior Hölder regularity of the linearized Monge-Ampère equation. Calc. Var. Partial Differential Equations, 64 (2025), no. 1, Paper No. 17. pdf  arXiv

• C^1,α regularity of variational problems with a convexity constraint (with B. Zhou). Preprint. 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. pdf  arXiv

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

• Interior estimates for Monge-Ampère type fourth order equations (with B. Zhou). Rev. Mat. Iberoam., 39 (2023), no. 5, 1895–1923. 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. pdf

• 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). Journal of Alloys & Compounds, 2015, 646: 277-282. pdf

Notes

• The Wiener test and potential estimates for quasilinear elliptic equations pdf
• The Hessian of support functions on round sphere pdf
• A calculation for the third fundamental form pdf
• An estimate for the Laplacian of Pick invariant pdf
• Boundary Hölder regularity of uniformly elliptic equations with drifts pdf
• Nonlinear Analysis homework ExI ExII pdf
• Bernstein problem pdf
• Affine Bernstein problem pdf
• Navier-Stokes equation (in Chinese) pdf
• Abstract algebra II (in Chinese) pdf
• Topics in Geometry homework 1 2

Teaching

Interesting References

Last updated: 2025. 1. 15