Positive solutions of a nonlinear Schrödinger system with nonconstant potentials
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Publication:256155
DOI10.3934/dcds.2016.36.1431zbMath1352.35038OpenAlexW2525285587MaRDI QIDQ256155
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.1431
Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Positive solutions to PDEs (35B09)
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Cites Work
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- Two coupled nonlinear Schrödinger equations involving a non-constant coupling coefficient
- Multiple solitary wave solutions of nonlinear Schrödinger systems
- Nonradial symmetric bound states for a system of coupled Schrödinger equations
- The principle of symmetric criticality
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Bound states for a coupled Schrödinger system
- Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
- Multiple bound states of nonlinear Schrödinger systems
- A positive solution of a nonlinear Schrödinger equation with \(G\)-symmetry
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- Positive solutions of some nonlinear elliptic problems in exterior domains
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- On the existence of a positive solution of semilinear elliptic equations in unbounded domains
- On the existence of positive entire solutions of a semilinear elliptic equation
- Minimax theorems
- On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
- Ground states of a nonlinear Schrödinger system with nonconstant potentials
- Bound and ground states of coupled nonlinear Schrödinger equations
- A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Coupled nonlinear Schrödinger systems with potentials
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Multi-bump solutions for a semilinear Schroedinger equation
- INFINITELY MANY NODAL SOLUTIONS FOR A WEAKLY COUPLED NONLINEAR SCHRÖDINGER SYSTEM
- Ground States and Bound States of a Nonlinear Schrödinger System
- Solitary waves andNcoupled nonlinear equations
- Special set and solutions of coupled nonlinear schr dinger equations
- A POSITIVE SOLUTION OF A NONHOMOGENEOUS ELLIPTIC EQUATION IN RNWITHG-INVARIANT NONLINEARITY
- Standing waves of some coupled nonlinear Schrödinger equations
- On a characterization of flow‐invariant sets
