Abstract
In this paper we are concerned with the existence and concentration of positive solutions for the following class of elliptic system ( S ) { − ϵ 2 Δ u + W ( x ) u = Q u ( u , v ) in R N , − ϵ 2 Δ v + V ( x ) v = Q v ( u , v ) in R N , u ( x ) , v ( x ) → 0 as | x | → ∞ , u , v > 0 in R N , where V, W are nonnegative Hölder continuous functions and Q is a p-homogeneous function with 2 < p < 2 N / ( N − 2 ) for N ⩾ 3 .
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