selected scholarly activity
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journal articles
- Interior Estimate for Hessian Quotient Equation in General Dimension. Annals of PDE. 11:17. 2025
- Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space. Calculus of Variations and Partial Differential Equations. 62:257. 2023
- On the asymptotic Plateau problem in hyperbolic space. Proceedings of the American Mathematical Society. 151:5443-5451. 2023
- A Liouville Theorem for Möbius Invariant Equations. Peking Mathematical Journal. 6:609-634. 2023
- On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. Discrete and Continuous Dynamical Systems. Series A. 43:2561-2575. 2023
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On the σ2-Nirenberg problem on
- Monge-Ampère Equation with Bounded Periodic Data. 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. 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