A constrained minimization problem related to two coupled pseudo-relativistic Hartree equations

Wenqing Wang, Xiaoyu Zeng, Huan-Song Zhou

We are concerned with the following constrained minimization problem: $$e(a_{1},a_{2},β) := \inf\left\{E_{a_{1},a_{2},β}(u_{1},u_{2}): \|u_{1}\|_{L^{2}(\mathbb{R}^{3})} = \|u_{2}\|…