Spike-layer solutions to singularly perturbed semilinear systems of coupled Schrödinger equations
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Publication:626179
DOI10.1016/J.JMAA.2010.11.001zbMath1210.35073OpenAlexW1977992858MaRDI QIDQ626179
Publication date: 22 February 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.001
Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)
Related Items (8)
Existence and concentration of positive solutions for a coupled nonlinear Schrödinger systems in R3 ⋮ Spiked vector solutions of coupled Schrödinger systems with critical exponent and solutions concentrating on spheres ⋮ Multiple mixed interior and boundary peaks synchronized solutions for nonlinear coupled elliptic systems ⋮ Spike-Layer Simulation for Steady-State Coupled Schrödinger Equations ⋮ Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case ⋮ Segregated peak solutions of coupled Schrödinger systems with Neumann boundary conditions ⋮ Multi-peak solutions to coupled Schrödinger systems with Neumann boundary conditions ⋮ Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems
Cites Work
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- Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
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- Singularly perturbed nonlinear Neumann problems with a general nonlinearity
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- 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 \({\mathbb{R}^n}\)
- Spikes in two coupled nonlinear Schrödinger equations
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Standing waves of some coupled nonlinear Schrödinger equations
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