Existence and concentration of ground states of coupled nonlinear Schrödinger equations
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Publication:884335
DOI10.1016/j.jmaa.2006.09.083zbMath1211.35120OpenAlexW1967746453MaRDI QIDQ884335
Publication date: 6 June 2007
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.2006.09.083
critical point theorysolution manifoldcoupled nonlinear Schrödinger equationsconcentration of ground states
Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (10)
Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency ⋮ A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction ⋮ A local mountain pass type result for a system of nonlinear Schrödinger equations ⋮ Ground states for the Schrödinger systems with harmonic potential and combined power-type nonlinearities ⋮ Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency ⋮ Existence of standing waves for coupled nonlinear Schrödinger equations ⋮ Existence of the mild solution for some fractional differential equations with nonlocal conditions ⋮ Uniqueness of positive solutions to a Schrödinger system with linear and nonlinear couplings ⋮ Distribution of positive solutions to Schrödinger systems with linear and nonlinear couplings ⋮ Uniqueness of positive solutions for a nonlinear elliptic system
Cites Work
- Unnamed Item
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- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Point-condensation for a reaction-diffusion system
- Large amplitude stationary solutions to a chemotaxis system
- On a class of nonlinear Schrödinger equations
- Existence of solitary waves in higher dimensions
- Remarks on the Schrödinger operator with singular complex potentials
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
- Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
- Existence and multiplicity of nontrivial solutions for an elliptic equation on \(\mathbb R^N\) with indefinite linear part
- Concentration around a sphere for a singularly perturbed Schrödinger equation
- Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case
- Singularly perturbed Neumann problems with potentials
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nehari's problem and competing species systems.
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Critical points of a singular perturbation problem via reduced energy and local linking
- Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold
- Spikes in two coupled nonlinear Schrödinger equations
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- Spike-layered solutions for an elliptic system with Neumann boundary conditions
- Existence and multiplicity results for some superlinear elliptic problems on RN
- On harnack type inequalities and their application to quasilinear elliptic equations
- A nonsmooth critical point theory approach to some nonlinear elliptic equations in \({\mathbb R}^n\)
- Multiplicity results for some nonlinear Schrödinger equations with potentials
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