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 $L^2$-norm (mass) constraint: \begin{equation*} \begin{cases} -Δu=|u|^{2^*-2} u +λ_ρu\quad \text…