Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L2-supercritical case
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Publication:5140951
DOI10.1063/5.0006247zbMath1454.35339OpenAlexW3044909520MaRDI QIDQ5140951
Jiajia Ren, Qingxuan Wang, Binhua Feng
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0006247
Stability in context of PDEs (35B35) Existence of solutions for minimax problems (49J35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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On stability and instability of standing waves for the inhomogeneous fractional Schrödinger equation ⋮ The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the \(L^2\)-subcritical and \(L^2\)-supercritical cases ⋮ Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth ⋮ Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities ⋮ Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations ⋮ Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential
Cites Work
- Unnamed Item
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- On the blow-up solutions for the nonlinear fractional Schrödinger equation
- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- Blowup for fractional NLS
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- On fractional Schrödinger equations in Sobolev spaces
- Instability of standing waves for the nonlinear Schrödinger-Poisson equation in the \(L^2\)-critical case
- Normalized solutions to the Chern-Simons-Schrödinger system
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
- Stability of standing waves for the nonlinear fractional Schrödinger equation
- Sharp threshold of blow-up and scattering for the fractional Hartree equation
- Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- Stability of standing waves for the fractional Schrödinger-Choquard equation
- On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
- Multiple normalized solutions for a competing system of Schrödinger equations
- On the continuum limit for discrete NLS with long-range lattice interactions
- On fractional nonlinear Schrödinger equation with combined power-type nonlinearities
- Normalized ground states for the NLS equation with combined nonlinearities
- Multiple normalized solutions for quasi-linear Schrödinger equations
- On fractional Schrödinger systems of Choquard type
- Normalized standing waves for the Hartree equations
- On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation
- On the orbital stability of fractional Schrödinger equations
- Boson stars as solitary waves
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- On Dipolar Quantum Gases in the Unstable Regime
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- Normalized solutions for the Chern–Simons–Schrödinger equation in R^2
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Stability of standing wave for the fractional nonlinear Schrödinger equation
- Multiple positive normalized solutions for nonlinear Schrödinger systems
- Strong instability of standing waves for the fractional Choquard equation
- Normalized solutions for nonlinear Schrödinger systems
- Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
- Finite time blowup for Klein‐Gordon‐Schrödinger system
- Existence of stable standing waves for the fractional Schrödinger equations with combined power-type and Choquard-type nonlinearities
- Methods in Nonlinear Analysis
