Stability and multiplicity of standing waves for the inhomogeneous NLS equation with a harmonic potential

DOI10.1016/j.nonrwa.2018.07.031zbMath1412.35311OpenAlexW2885366991WikidataQ129394677 ScholiaQ129394677MaRDI QIDQ1729191

Xiao Luo

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.031

zbMATH Keywords

stabilitymultiplicityharmonic potentialstanding wavesinhomogeneous NLS equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (6)

Instability of standing waves for the inhomogeneous Gross-Pitaevskii equation ⋮ Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation ⋮ Orbital stability of standing waves for supercritical NLS with potential on graphs ⋮ Minimizers of \(L^2\)-subcritical variational problems with spatially decaying nonlinearities in bounded domains ⋮ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement ⋮ On the instability of standing waves for 3D dipolar Bose-Einstein condensates

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