Existence of Solutions for a Modified Nonlinear Schrödinger System

We are concerned with the following modified nonlinear Schrödinger system: -Δu+u-(1/2)uΔ(u2)=(2α/(α+β))|u|α-2|v|βu,  x∈Ω,  -Δv+v-(1/2)vΔ(v2)=(2β/(α+β))|u|α|v|β-2v,  x∈Ω,  u=0,  v=0,  x∈∂Ω, where α>2,  β>2,  α+β<2·2*,  2*=2N/(N-2) is the critical...

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Bibliographic Details
Main Authors: Yujuan Jiao, Yanli Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/431672
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