Uniqueness and stability of ground states for some nonlinear Schrödinger equations

DOI10.4171/JEMS/60zbMath1245.35120MaRDI QIDQ2502562

Charles A. Stuart

Publication date: 13 September 2006

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

orbital stabilityground statesstanding waves

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of operator theory to differential and integral equations (47N20)

Related Items (5)

Non-degeneracy of positive solutions of Kirchhoff equations and its application ⋮ Ground state and orbital stability for the NLS equation on a general starlike graph with potentials ⋮ Bifurcation and Stability of Travelling Waves in Self-focusing Planar Waveguides ⋮ Stability and instability of standing waves to a system of Schrödinger equations with combined power-type nonlinearities ⋮ Nonlinear fractional Schrödinger equations coupled by power-type nonlinearities

Cites Work

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• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• Nonsymmetric ground states of symmetric variational problems
• Asymmetric Modes in Symmetric Nonlinear Optical Waveguides

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