Multiplicity and concentration for the nonlinear Schrödinger equation with critical frequency

DOI10.1016/j.na.2005.11.017zbMath1124.35083OpenAlexW2140805941MaRDI QIDQ860728

Patricio L. Felmer, Juan Mayorga-Zambrano

Publication date: 9 January 2007

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.2005.11.017

zbMATH Keywords

critical point theoryLjusternik-Schnirelman theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Sobolev-like cones of trace-class operators on unbounded domains: interpolation inequalities and compactness properties ⋮ Standing waves with a critical frequency for nonlinear Choquard equations ⋮ Unnamed Item ⋮ Semiclassical states for Choquard type equations with critical growth: critical frequency case ^* ⋮ Unnamed Item ⋮ Existence and multiple solutions for a critical quasilinear equation with singular potentials ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝ^N ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

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