Multiple Solitary Wave Solutions of Nonlinear Schrödinger Systems
نویسندگان
چکیده
Consider the N -coupled nonlinear elliptic system (P) >< >: −∆Uj + Uj = μU j + βUj X k 6=j U k in Ω, Uj > 0 in Ω, Uj = 0 on ∂Ω, j = 1, . . . , N. where Ω is a smooth and bounded (or unbounded if Ω is radially symmetric) domain in Rn, n ≤ 3. By using a ZN index theory, we prove the existence of multiple solutions of (P) and show the dependence of multiplicity results on the coupling constant β.
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