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math.AP2026
Existence and Uniqueness of Normalized Multi-peak Solutions for Coupled Nonlinear Schrödinger Systems
Wenhao Hu, Benniao Li, Wei Long +1
We consider the following two-component coupled nonlinear Schrödinger (CNLS) system: \[ \begin{cases} -Δu +(P(x) + λ) u=μ_1 u^3+βu v^2, & \text{in } \mathbb{R}^N,\\ -Δv +(Q(x) + λ)…
math.AP2021
Concentrated solutions to fractional Schrödinger equations with prescribed -norm
Qing Guo, Peng Luo, Chunhua Wang +1
We investigate the existence and local uniqueness of normalized -peak solutions for the fractional Schrödinger equations with attractive interactions with a class of degenerated…
math.AP2017★ 4 cited
Uniqueness of positive solutions with Concentration for the Schrödinger-Newton problem
Peng Luo, Shuangjie Peng, Chunhua Wang
We are concerned with the following Schrödinger-Newton problem \begin{equation} -\varepsilon^2Δu+V(x)u=\frac{1}{8π\varepsilon^2} \big(\int_{\mathbb R^3}\frac{u^2(ξ)}{|x-ξ|}dξ\big)u…