Ground states for Schrödinger-type equations with nonlocal nonlinearity

DOI10.1016/j.na.2004.10.014zbMath1078.35115OpenAlexW2091602278MaRDI QIDQ1764864

Jamison Moeser

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.10.014

zbMATH Keywords

stabilitysolitary wavesnonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Cites Work

• On a variational problem with lack of compactness related to the Strichartz inequality
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion
• Bifurcation from the essential spectrum without sign condition on the nonlinearity
• Non local Models for Envelope Waves in a Stratified Fluid
• Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management
• Weakly Nonlinear Evolution of a Wave Packet in a Zonal Mixing Layer
• Stabilizing effects of dispersion management
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