High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

This article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\mu }_{1}{u}^{3}+\beta u{v}^{2},\hspace{1em}x\...

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Bibliographic Details
Main Authors: Guan Wen, Wang Da-Bin, Xie Huafei
Format: Article
Language:English
Published: De Gruyter 2025-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2025-0099
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