Segregated solutions for nonlinear Schrödinger systems with a large number of components

2022/12/28 by Haixia Chen, Angela Pistoia, Chen, Haixia +1 · 2 citations
Mathematics · #35B33 (secondary) #35B44 #35J47 (primary) #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2212.13829

openalex publication_date 2022/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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• Segregated solutions for nonlinear Schrödinger systems with sublinear coupling terms
• Non-homogeneous Schrodinger systems with sign-changing and general nonlinearities: Infinitely many solutions

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