Existence of stable standing waves for the fractional Schrödinger equations with combined power-type and Choquard-type nonlinearities

DOI10.1063/1.5082684zbMath1414.35206OpenAlexW2946370741MaRDI QIDQ5379479

Jiajia Ren, Binhua Feng, Ruipeng Chen

Publication date: 12 June 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5082684

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items

On stability and instability of standing waves for the inhomogeneous fractional Schrödinger equation, Existence of stable standing waves for the nonlinear Schrödinger equation with inverse-power potential and combined power-type and Choquard-type nonlinearities, Limit profiles for singularly perturbed Choquard equations with local repulsion, Existence of the stable traveling wave for half-wave equation with L²-critical combined nonlinearities, The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term, Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation, Normalized solutions for the fractional Choquard equations with Sobolev critical and double mass supercritical growth, Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation, Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L2-supercritical case, Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation

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