Existence and stability of high frequency standing waves for a nonlinear Schrödinger equation

DOI10.3934/DCDS.2009.25.1229zbMath1179.35307OpenAlexW2084056533MaRDI QIDQ1045778

François Genoud

Publication date: 16 December 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.1229

zbMATH Keywords

bifurcationnonlinear Schrödinger equationorbital stabilitystanding waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Bifurcations in context of PDEs (35B32)

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Stability and multiplicity of standing waves for the inhomogeneous NLS equation with a harmonic potential ⋮ A smooth global branch of solutions for a semilinear elliptic equation on \(\mathbb R^N\)

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