Segregated solutions for nonlinear Schr\"odinger systems with a large number of components

TL;DR

This paper investigates the existence of non-radial, segregated solutions for complex nonlinear Schrödinger systems with many components under attractive or repulsive forces, influenced by an external radial potential.

Contribution

It introduces new methods to establish the existence of such solutions in systems with a large number of components under specific regimes.

Findings

Existence of segregated non-radial solutions proven

Applicable to systems with many components

Results depend on attractive or repulsive regimes

Abstract

In this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schr\"odinger systems with a large number of components in a weak fully attractive or repulsive regime in presence of a suitable external radial potential.