Infinitely many segregated vector solutions of Schrodinger system

Abstract

We consider the following system of Schrödinger equationswhere λ, α 0 , α 1 > 0 are positive constants, β ∈ R is the coupling constant, and µ : R N → R is a potential function. Continuing the work of Lin and Peng[6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear.