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Dirac-harmonic maps with the trivial index (合作者：Jürgen Jost、朱静勇), Sci. China Math. pdf

An existence result for the Kazdan-Warner equation with a sign-changing prescribed function (合作者：朱静勇), Calc. Var. Partial Differential Equations pdf
Topological degree for Chern-Simons Higgs models on finite graphs (合作者：李嘉禹、杨云雁), Calc. Var. Partial Differential Equations pdf

Complete self-similar hypersurfaces to the mean curvature flow with nonnegative constant scalar curvature (合作者：罗勇、尹佳斌), Front. Math. pdf
Rigidity of closed CSL submanifolds in the unit sphere (合作者：罗勇), Ann. Inst. H. Poincaré C Anal. Non Linéaire pdf
The boundary value problem for the mean field equation on a compact Riemann surface (合作者：李嘉禹、杨云雁), Sci. China Math. pdf

An optimal pinching theorem of minimal Legendrian submanifolds in the unit sphere (合作者：罗勇、尹佳斌), Calc. Var. Partial Differential Equations pdf
Brouwer degree for Kazdan-Warner equations on a connected finite graph (合作者：王六权), Adv. Math. pdf

A note on rigidity of Einstein four-manifolds with positive sectional curvature (合作者：崔庆), Manuscripta Math. pdf
Extrinsic conformal lower bounds of eigenvalue for Dirac operator (合作者：陈群), Math. Z. pdf
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function (合作者：朱静勇), Calc. Var. Partial Differential Equations pdf
Rigidity theorems for minimal Lagrangian surfaces with Legendrian capillary boundary (合作者：罗勇), Adv. Math. pdf
Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space (合作者：邱红兵), J. Funct. Anal. pdf

Complete Willmore Legendrian surfaces in S5 are minimal Legendrian surfaces (合作者：罗勇), Ann. Global Anal. Geom. pdf
Sphere theorems for Lagrangian and Legendrian submanifolds (合作者：孙俊), Calc. Var. Partial Differential Equations pdf
Sphere theorems for submanifolds in Kähler manifold (合作者：孙俊), Math. Res. Lett. pdf

Dirac-harmonic maps between Riemann surfaces (合作者：陈群、 Jürgen Jost、朱苗苗), Asian J. Math. pdf
Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem (合作者：陈群、 Jürgen Jost、 朱苗苗), J. Eur. Math. Soc. pdf
Optimal lower eigenvalue estimates for Hodge-Laplacian and applications (合作者：崔庆), J. Differential Equations pdf
Some differentiable sphere theorems (合作者：崔庆), Calc. Var. Partial Differential Equations pdf

A note on the uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds, Manuscripta Math. pdf
On the volume of locally conformally flat 4-dimensional closed hypersurface (合作者：崔庆), Proc. Amer. Math. Soc. pdf

A note on the nonexistence of quasi-harmonic spheres (合作者：李嘉禹), Calc. Var. Partial Differential Equations pdf

Dirac-geodesics and their heat flows (合作者：陈群、 Jürgen Jost、朱苗苗), Calc. Var. Partial Differential Equations pdf

Gradient estimates and Liouville theorems for Dirac-harmonic maps (合作者：陈群、Jürgen Jost), J. Geom. Phys. pdf

Existence results for Toda systems with sign-changing prescribed functions: Part II (合作者：朱晓宝), arXiv
Existence results for Toda systems with sign-changing prescribed functions: Part I (合作者：朱晓宝), arXiv
Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds (合作者：贺杰、王友德), arXiv
Sinh-Gordon equations on finite graphs, arXiv

Existence results for a generalized mean field equation on a closed Riemann surface (合作者：王亚敏、杨云雁), arXiv

Mean curvature flow of surfaces in a hyperkähler 4-manifold (合作者：邱红兵), arXiv