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Existence of solutions for a modified nonlinear Schrödinger system
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نویسنده
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jiao y. ,wang y.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We are concerned with the following modified nonlinear schrödinger system: -δu+u-(1/2)uδ(u2)=(2α/(α+β))|u|α- 2|v|βu,xω,-δv+v-(1/2)vδ(v2)=(2β/(α+β)) |u|α|v|β-2v,xω,u=0,v=0,x∂ω,where α>2,β>2,α+β<2·2·,2·=2n/(n-2) is the critical sobolev exponent,and ω⊂n (n≥3) is a bounded smooth domain. by using the perturbation method,we establish the existence of both positive and negative solutions for this system. © 2013 yujuan jiao and yanli wang.
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آدرس
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college of mathematics and computer science,northwest university for nationalities, China, school of mathematical sciences,beijing normal university, China
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Authors
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