Stability of standing waves for nonlinear Schrödinger equations with critical power nonlinearity and potentials
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Publication:2504035
zbMath1107.35100MaRDI QIDQ2504035
Publication date: 22 September 2006
Published in: Advances in Differential Equations (Search for Journal in Brave)
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)
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On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ Asymptotic behavior and stability for the Schrödinger-Lohe model ⋮ Coupled nonlinear Schrödinger equations with harmonic potential ⋮ Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement ⋮ Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation ⋮ Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation ⋮ Instability of standing waves for a class of inhomogeneous Schrödinger equations with harmonic potential ⋮ Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation ⋮ Nonlinear Schrödinger equation with a point defect ⋮ Orbital stability of bound states of nonlinear Schrödinger equations with linear and nonlinear optical lattices ⋮ Ground states for the nonlinear Schrödinger equation under a general trapping potential ⋮ Orbital Stability: Analysis Meets Geometry ⋮ Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential
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