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We study the bound states to nonlinear Schr¨odinger equations with electromagnetic fields ih ?ψ/?t=(h/t▽-A(x))~2ψ + V(x)ψ-K(x)|ψ|~(p-1)ψ = 0, on R~+ × R~N. Let G(x) = [V(x)]~((p+1)/(p-1)-N/2) [K(x)](-(2/(p-1))) and suppose that G(x) has k local