P. Liu, A Moser-Trudinger inequality on compact Riemannian surface, Preprint
 P. Liu, The heat equation related to the geodesic curvature on Riemann surfaces, Preprint.
 W. Huang and P. Liu , On Symmetric Geodesic Curvature on $D^2$, To appear in Nonlinear analysis.
 Y. X. Li and P. Liu, Moser-Trudinger inequality on the boundary of a compact riemannian surface, To appear in Math. Z.
 P. Liu and Chunqing Yao, Vortices in Holomorphic Line Bundles over complex manifolds. Preprint.