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math.AP2024
Bubble solution for the critical Hartree equation in pierced domain
Marco Ghimenti, Xiaomeng Huang, Angela Pistoia
In this article, we establish the existence of solutions to the following critical Hartree equation \begin{align*} \begin{cases} -Δu=\left(\int_{Ω_\varepsilon}\frac{u^{2_μ^*}}{|x-y…
math.AP2024
New type of solutions for the critical Lane-Emden system
Wenjing Chen, Xiaomeng Huang
In this paper, we consider the critical Lane-Emden system \begin{align*} \begin{cases} -Δu=K_1(y)v^p,\quad y\in \mathbb{R}^N,&\\ -Δv=K_2(y)u^q,\quad y\in \mathbb{R}^N,&\\ u,v>0, \e…