Standing waves for weakly coupled nonlinear Schrödinger systems

DOI10.1142/S0219199719500068zbMath1445.35155OpenAlexW2914169465MaRDI QIDQ3299006

Claudiney Goulart, Elves A. B. Silva

Publication date: 17 July 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199719500068

zbMATH Keywords

variational methodsnonlinear elliptic systemsNehari manifoldleast energy solutionweakly coupled Schrödinger equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic systems (35J47)

Related Items (1)

Normalized solutions for coupled Schrödinger system with nonhomogeneous nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Bound states for a coupled Schrödinger system
• Multiple bound states of nonlinear Schrödinger systems
• A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
• Existence of standing waves for coupled nonlinear Schrödinger equations
• Multiple existence of nonradial positive solutions for a coupled nonlinear Schrödinger system
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• On a class of nonlinear Schrödinger equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Symmetry results for semilinear elliptic systems in the whole space
• On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Bound and ground states of coupled nonlinear Schrödinger equations
• Minimal energy solutions for cooperative nonlinear Schrödinger systems
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Solitary waves for some nonlinear Schrödinger systems
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
• Standing waves of some coupled nonlinear Schrödinger equations

This page was built for publication: Standing waves for weakly coupled nonlinear Schrödinger systems