Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems

DOI10.1016/j.jmaa.2016.11.044zbMath1357.35123OpenAlexW2555941456MaRDI QIDQ730216

Publication date: 23 December 2016

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.2016.11.044

zbMATH Keywords

elliptic systems interior spikes Lyapunov-Schmidt reduction methods synchronized and segregated solution

Mathematics Subject Classification ID

Second-order elliptic systems (35J47)

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Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case ⋮ Quantized feedback control scheme on coupled systems with time delay and distributed delay: a finite-time inner synchronization analysis

Cites Work

Unnamed Item
Unnamed Item
Segregated peak solutions of coupled Schrödinger systems with Neumann boundary conditions
Spike-layer solutions to singularly perturbed semilinear systems of coupled Schrödinger equations
On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
Large amplitude stationary solutions to a chemotaxis system
On the stationary Cahn-Hilliard equation: Interior spike solutions
On the interior spike layer solutions to a singularly perturbed Neumann problem
Locating the peaks of least-energy solutions to a semilinear Neumann problem
Multipeak solutions for a singularly perturbed Neumann problem
Multipeak solutions for a semilinear Neumann problem
Multiple interior peak solutions for some singularly perturbed Neumann problems.
Segregated and synchronized vector solutions for nonlinear Schrödinger systems
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
Equilibria with many nuclei for the Cahn-Hilliard equation
Multiple boundary peak solutions for some singularly perturbed Neumann problems
Multi-peak solutions to coupled Schrödinger systems with Neumann boundary conditions
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem
Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
Spikes in two coupled nonlinear Schrödinger equations
On the number of positive solutions of singularly perturbed 1D NLS
On the number of interior peak solutions for a singularly perturbed Neumann problem
On the shape of least‐energy solutions to a semilinear Neumann problem
On the interior spike solutions for some singular perturbation problems
On a singularly perturbed equation with neumann boundary condition
On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems
On the role of distance function in some singular perturbation problems

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