Infinitely many segregated vector solutions of Schrodinger system

Abstract

We consider the following system of Schrodinger equations {-Delta U + lambda U = alpha U-0(3) + beta UV2 -Delta V + mu(y)V = alpha V-1(3) + beta(UV)-V-2 in R-N, N = 2, 3, where lambda, alpha(0), alpha(1)> 0 are positive constants, beta is an element of R is the coupling constant, and mu : 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. (C) 2022 Elsevier Inc. All rights reserved.