Abstract
AbstractThe aim of this paper is to study the existence and concentration of positive solutions for the coupled nonlinear Schrödinger systemwhere ε is a small positive number, N ≥ 3, p, q > 1 satisfyand W(x), Q(x), K(x) are continuous and bounded positive functions defined in ℝN. Combining the dual variational methods with mountain pass theorem, we prove under some conditions on W, Q, K the existence of a family of positive solutions concentrating at a point where related functionals achieve their minimum energy.
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