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- W3040744563 abstract "In this paper, we consider the following nonlinear Schrödinger system:{−ϵ2Δu+V1(x)u=uv2inRN,u∈H1(RN),−ϵ2Δv+V2(x)v=u2vinRN,v∈H1(RN), where N≤3, ϵ∈(0,1), Vi∈C1(RN,R), 0<infx∈RNVi(x)≤supx∈RNVi(x)<∞ (i=1,2), and there exists a bounded open set Λ⊂RN with smooth boundary ∂Λ such that infx∈∂Λmin{∂V1∂ν(x),∂V2∂ν(x)}>0. We prove the existence of a given number of semi-positive solutions localized in Λ. Here we say (u,v) is semi-positive, if either u>0 or v>0." @default.
- W3040744563 created "2020-07-16" @default.
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- W3040744563 date "2020-11-01" @default.
- W3040744563 modified "2023-10-17" @default.
- W3040744563 title "Multiplicity of localized solutions of nonlinear Schrödinger systems for infinite attractive case" @default.
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- W3040744563 doi "https://doi.org/10.1016/j.jmaa.2020.124358" @default.
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