2 papers
math.AP2025
Existence and local uniqueness of multi-spike solutions for Brézis-Nirenberg problem with prescribed mass
Zongyan Lv, Xiaoyu Zeng, Huan-Song Zhou
In this paper, we consider the following Brézis-Nirenberg problem with prescribed -norm (mass) constraint: \begin{equation*} \begin{cases} -Îu=|u|^{2^*-2} u +λ_Ïu\quad \t…
math.FA2024
Blow-up Behaviors of Ground States in Ergodic Mean-field Games Systems with Hartree-type Coupling
Fanze Kong, Yonghui Tong, Xiaoyu Zeng +1
In this paper, we investigate the concentration behaviors of ground states to stationary Mean-field Games systems (MFGs) with the nonlocal coupling in , Wit…