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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.AP2023
Infinitely many new solutions for singularly perturbed Schrödinger equations
Benniao Li, Wei Long, Jianfu Yang
This paper deals with the existence of solutions for the following perturbed Schrödinger equation \begin{equation*} -\varepsilon^{2} Δu + V(x)u= |u|^{p-2}u, \, \, \text{ in } \, \,…