selected scholarly activity
-
academic article
-
On the σ2-Nirenberg problem on
- Monge-Ampère Equation with Bounded Periodic Data. Approximation Theory and Its Applications Analysis in Theory and Applications. 38:128-147. 2022
- Rigidity of Riemannian Penrose inequality with corners and its implications. Journal of Functional Analysis. 281:109231-109231. 2021
- On Weyl’s Embedding Problem in Riemannian Manifolds. International Mathematics Research Notices International Mathematics Research Papers. 2020:3229-3259. 2020
- Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature. Journal of Differential Geometry. 113:519-566. 2019
- Inverse curvature flow in anti-de Sitter-Schwarzschild manifold. Communications in Analysis and Geometry. 27:465-489. 2019
- Variation and rigidity of quasi-local mass. Advances in Theoretical and Mathematical Physics. 23:1411-1426. 2019
- Existence and nonexistence to exterior Dirichlet problem for Monge–Ampère equation. Calculus of Variations and Partial Differential Equations. 57. 2018
- Curvature estimates for immersed hypersurfaces in Riemannian manifolds. Inventiones Mathematicae. 208:191-215. 2017
-
On the σ2-Nirenberg problem on