The Lieb-Yau Conjecture for Ground States of Pseudo-Relativistic Boson Stars

Yujin Guo, Xiaoyu Zeng

It is known that ground states of the pseudo-relativistic Boson stars exist if and only if the stellar mass $N>0$ satisfies $N<N^{\ast }$, where the finite constant $N^{\ast }$ is called the c…