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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} -Δu=|u|^{2^*-2} u +λ_ρu\quad \text…
math.AP2021
Asymptotic behavior of least energy solutions for a fractional Laplacian eigenvalue problem on
Yunbo Wang, Xiaoyu Zeng, Huan-Song Zhou
We are interested in the existence and asymptotical behavior for the least energy solutions of the following fractional eigenvalue problem \begin{equation*} (P)\quad (-Δ)^{s}u+V(x)…