Normalized solutions for nonlinear Schrödinger systems with critical exponents

In this paper, we consider the following nonlocal Schrödinger system−a+b∫R3|∇u1|2dxΔu1=λ1u1+μ1|u1|p1−2u1+βr1|u1|r1−2u1|u2|r2,−a+b∫R3|∇u2|2dxΔu2=λ2u2+μ2|u2|p2−2u2+βr2|u1|r1|u2|r2−2u2,∫R3|u1|2dx=c1,∫R3|u2|2dx=c2. $$\begin{cases}-\left(a+b{\int }_{{\mathbb{R}}^{3}}\vert \nabla {u}_{1}{\vert }^{2}\mathr...

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Bibliographic Details
Main Authors: Hu Jiaqing, Mao Anmin
Format: Article
Language:English
Published: De Gruyter 2025-02-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0175
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