Author： Zou Henghui
Publisher： Taylor & Francis Ltd
ISSN： 0360-5302
Source： Communications in Partial Differential Equations, Vol.34, Iss.11, 2009-11, pp. : 1398-1424
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Abstract
We study the following system of non-linear Schrodinger equations [image omitted] where Ω ⊂ n (n ≥ 2) is a bounded smooth domain, and ai, bi, di, si ∈ and pi = (pi1,…, pik) ∈ Ξ are constants (for notation, see the first paragraph below). Under appropriate conditions, we derive a priori estimates and existence of positive solutions for arbitrary k ≥ 2, extending the earlier results of [14] for k = 2 to all k ≥ 2.
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