Department of Mathematics and Statistics
1280 Main Street West, Hamilton, ON, L8S 4K1
Telephone: 905-525-9140 ext. 23627
Email: siyuan.lu@mcmaster.ca
Research Interests: Geometric Analysis, Partial Differential Equations, Geometric Flows and General Relativity.
You can find my CV here. (July 2024)
15. S. Lu and Y.-L. Tsai, A simple proof of curvature estimates for the n-1 Hessian equation,
to appear in Proc. Amer. Math. Soc.
14. S. Lu, Interior C^2 estimate for Hessian quotient equation in general dimension,
Ann. PDE 11 (2025), no. 2, Paper No. 17, 26 pp.
13. S. Lu, Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space,
Calc. Var. Partial Differential Equations 62 (2023), no. 9, Paper No. 257, 23 pp.
12. S. Lu, On the asymptotic Plateau problem in hyperbolic space,
Proc. Amer. Math. Soc. 151 (2023), no. 12, 5443-5451.
11. Y.Y. Li, H. Lu and S. Lu, A Liouville theorem for Mobius invariant equations,
Peking Math. J. 6 (2023), no. 2, 609-634.
10. S. Lu, On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase,
Discrete Contin. Dyn. Syst. 43 (2023), no. 7, 2561-2575.
9. Y.Y. Li and S. Lu, Monge-Ampere equation with bounded periodic data,
Anal. Theory Appl. 38 (2022), no. 2, 128-147.
8. Y.Y. Li, H. Lu and S. Lu, On the \sigma_2-Nirenberg problem on \mathbb{S}^2,
J. Funct. Anal. 283 (2022), no. 10, Paper No. 109606, 50pp.
7. S. Lu and P. Miao, Rigidity of Riemannian Penrose inequality with corners and its implications,
J. Funct. Anal. 281 (2021) no. 10, Paper No. 109231, 11pp.
6. S. Lu, On Weyl’s embedding problem in Riemannian manifolds,
Int. Math. Res. Not. IMRN 2020, no. 11, 3229-3259.
5. S. Lu and P. Miao, Variation and rigidity of quasi-local mass,
Adv. Theor. Math. Phys. 23 (2019), no. 5, 1411-1426.
4. S. Lu and P. Miao, Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature,
J. Differential Geom. 113 (2019), no. 3, 519-566.
3. S. Lu, Inverse curvature flow in anti-de Sitter-Schwarzschild manifold,
Comm. Anal. Geom. 27 (2019), no. 2, 465-489.
2. Y.Y. Li and S. Lu, Existence and nonexistence to exterior Dirichlet problem for Monge-Ampere equation,
Calc. Var. Partial Differential Equations 57 (2018), no. 6, Art.161, 17 pp.
1. P. Guan and S. Lu, Curvature estimates for immersed hypersurfaces in Riemannian manifolds,
Invent. Math. 208 (2017), no. 1, 191-215.
2. S. Lu and Y.-L. Tsai, Pogorelov type interior C^2 estimate for Hessian quotient equation and its application,
1. S. Lu, Interior C^2 estimate for Hessian quotient equation in dimension three,
1. Bin Wang: (M. Sc. McMaster University 2022)
B. Wang, Curvature estimates for hypersurfaces of constant curvature in hyperbolic space,
Math. Res. Lett. 31 (2024), no.4, 1197-1213.