Classification of ground-states of a coupled Schrödinger system

DOI10.1007/s00030-021-00685-9zbMath1465.35178OpenAlexW3138112047MaRDI QIDQ831418

Chuangye Liu, Zhi-Qiang Wang

Publication date: 11 May 2021

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-021-00685-9

zbMATH Keywords

system of Schrödinger equationsexistence of ground-state solutions

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Cites Work

• Unnamed Item
• Ground-states for systems of \(M\) coupled semilinear Schrödinger equations with attraction-repulsion effects: characterization and perturbation results
• Ground states for a nonlinear Schrödinger system with sublinear coupling terms
• Semitrivial vs. fully nontrivial ground states in cooperative cubic Schrödinger systems with \(d\geq 3\) equations
• An optimal constant for the existence of least energy solutions of a coupled Schrödinger system
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Characterization of ground-states for a system of \(M\) coupled semilinear Schrödinger equations and applications
• Bound states for a coupled Schrödinger system
• Erratum: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Synchronization of positive solutions for coupled Schrödinger equations
• Minimal energy solutions for cooperative nonlinear Schrödinger systems
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Ground States and Bound States of a Nonlinear Schrödinger System
• Some Nonlinear Multiphase Interactions
• Multiple Permanent‐wave Trains in Nonlinear Systems
• Existence and uniqueness of positive solutions of nonlinear Schrödinger systems
• Standing waves of some coupled nonlinear Schrödinger equations
• The Propagation of Nonlinear Wave Envelopes

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