Authors: Li, Haigang, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China, and Bao, Jiguang, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China (jgbao@bnu.edu.cn). 
Existence of rotating stars with prescribed angular velocity law, pp. 297-309.
ABSTRACT. The existence of solutions of the equations for a self-gravitating fluid with prescribed angular velocity law is proved. The conditions on the angular velocity are nearly optimal. The system is formulated as a variational problem and concentration-compactness methods are used to prove the existence of minimizers of the energy functional.