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Existence and local uniqueness of multi-peak solutions for the Chern-Simons-Schrödinger system
Qiaoqiao Hua, Chunhua Wang, Jing Yang
In the present paper, we consider the Chern-Simons-Schrödinger system \begin{equation} \left\{ \begin{aligned} &-\varepsilon^{2}Δu+V(x)u+(A_{0}+A_{1}^{2}+A_{2}^{2})u=|u|^{p-2}u,\,\…
math.AP2022
The existence of multi-peak positive solutions for nonlinear Kirchhoff equations
Hong Chen, Qiaoqiao Hua
In this work, we study the following Kirchhoff equation $$\begin{cases}-\left(\varepsilon^2 a+\varepsilon b\int_{\mathbb R^3}|\nabla u|^2\right)Δu +u =Q(x)u^{q-1},\quad u>0,\quad x…