Semiclassical states for weakly coupled fractional Schrödinger systems
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Publication:529127
DOI10.1016/j.jde.2017.03.036zbMath1372.35087OpenAlexW2598748031MaRDI QIDQ529127
Publication date: 18 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.036
Pseudodifferential operators as generalizations of partial differential operators (35S05) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Pseudodifferential operators (47G30) Fractional partial differential equations (35R11)
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Existence and concentration of positive solutions to a fractional system with saturable term, Semiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems, Sharp threshold of blow-up and scattering for the fractional Hartree equation, Properties of the minimizers for a constrained minimization problem arising in fractional NLS system, Existence and asymptotic behavior of positive ground state solutions for coupled nonlinear fractional Kirchhoff-type systems, Existence of positive ground state solutions to a nonlinear fractional Schrödinger system with linear couplings, Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling, Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings
Cites Work
- An optimal constant for the existence of least energy solutions of a coupled Schrödinger system
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- The Pohozaev identity for the fractional Laplacian
- Mountain pass solutions for non-local elliptic operators
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Least energy solutions for a weakly coupled fractional Schrödinger system
- Concentrating standing waves for the fractional Schrödinger equation with critical nonlinearities
- Remarks on the Schrödinger operator with singular complex potentials
- Semiclassical states of nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Variational methods for non-local operators of elliptic type
- Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Solitary waves for some nonlinear Schrödinger systems
- Semiclassical states for weakly coupled nonlinear Schrödinger systems
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Uniqueness of Radial Solutions for the Fractional Laplacian
- A concave—convex elliptic problem involving the fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Concentration on curves for nonlinear Schrödinger Equations
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
- Standing waves of some coupled nonlinear Schrödinger equations
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
- Shape-changing collisions of coupled bright solitons in birefringent optical fibers.
