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Existence of a ground-state solution for a quasilinear Schrödinger system

In this paper, we consider the following quasilinear Schrödinger system.−Δu+u+k2Δ|u|2u=2αα+β|u|α−2u|v|β,x∈RN,−Δv+v+k2Δ|v|2v=2βα+β|u|α|v|β−2v,x∈RN,where k < 0 is a real constant, α > 1, β > 1, and α + β < 2*. We take advantage of the critical point theorem developed by Jeanjean (Proc. R....

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Bibliografiska uppgifter
Huvudupphov: Xue Zhang, Jing Zhang
Materialtyp: Artigo
Språk:Inglês
Utgiven: Frontiers Media S.A. 2024-05-01
Serie:Frontiers in Physics
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Länkar:https://www.frontiersin.org/articles/10.3389/fphy.2024.1386144/full
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