On the classification of standing wave solutions to a coupled Schrödinger system
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Publication:5244487
DOI10.1017/prm.2018.93zbMath1435.35152OpenAlexW2908583198MaRDI QIDQ5244487
Yu-Jen Huang, Yong-Li Tang, Zhi-You Chen
Publication date: 21 November 2019
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2018.93
Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
- Unnamed Item
- Bound states for a coupled Schrödinger system
- On Lane-Emden type systems
- Erratum: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Uniqueness of ground states of some coupled nonlinear Schrödinger systems and their application
- Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two Higgs particles
- Large amplitude stationary solutions to a chemotaxis system
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Variational identities and applications to differential systems
- Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
- Exact multiplicity of positive solutions for a class of semilinear problems
- Symmetry results for semilinear elliptic systems in the whole space
- Exact multiplicity of positive solutions for a class of semilinear problem. II
- The symmetry of least-energy solutions for semilinear elliptic equations.
- Existence and uniqueness of positive radial solutions for the Lane-Emden system
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
- Existence and uniqueness of positive solutions of semilinear elliptic systems
- Classification and sharp range of flux-pairs for radial solutions to a coupled system
- Differential systems with strongly indefinite variational structure
- 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 \(\mathbb R^n\), \(n \leq 3\)
- Uniqueness of the positive solution of \(\Delta u+f(u)=0\) in an annulus
- Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
- Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
- Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3
- Positive splutions of semilinear elliptic systems
- A rellich type identity and applications
- Structure of Radial Solutions to $\Delta u + K(|x|)|u|^{p - 1} u = 0$ in ${\bf R}^n $
- Standing waves of some coupled nonlinear Schrödinger equations
- Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model
