Asymptotic Behavior of Ground State Solution for Hénon Type Systems
نویسندگان
چکیده
In this article, we investigate the asymptotic behavior of positive ground state solutions, as α→∞, for the following Hénon type system −∆u = 2p p+ q |x|αup−1vq , −∆v = 2q p+ q |x|αupvq−1, in B1(0) with zero boundary condition, where B1(0) ⊂ RN (N ≥ 3) is the unit ball centered at the origin, p, q > 1, p+ q < 2∗ = 2N/(N − 2). We show that both components of the ground solution pair (u, v) concentrate on the same point on the boundary ∂B1(0) as α→∞.
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