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• W1997818104 abstract "Abstract We study the following linearly coupled Schrodinger equations: { − e 2 Δ u + a ( x ) u = u p + λ v , x ∈ R N , − e 2 Δ v + b ( x ) v = v 2 ⁎ − 1 + λ u , x ∈ R N , u , v > 0 in R N , u ( x ) , v ( x ) → 0 as | x | → ∞ , where N ⩾ 3 , 2 ⁎ = 2 N N − 2 , 1 p 2 ⁎ − 1 , and a ( x ) , b ( x ) are positive continuous potentials which are both bounded away from 0. Under some assumptions on a ( x ) and λ > 0 , we obtain positive solutions of the coupled system for sufficiently small e > 0 , which have concentration phenomenon as e → 0 . It is interesting that we do not need any further assumptions on b ( x ) ." @default.
• W1997818104 created "2016-06-24" @default.
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• W1997818104 date "2014-06-01" @default.
• W1997818104 modified "2023-10-10" @default.
• W1997818104 title "Standing waves for linearly coupled Schrödinger equations with critical exponent" @default.
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• W1997818104 doi "https://doi.org/10.1016/j.anihpc.2013.04.003" @default.
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