Multi-peak positive solutions for nonlinear Schrödinger equations with critical frequency

DOI10.1007/s00526-006-0070-9zbMath1119.35089OpenAlexW2030493381MaRDI QIDQ885810

Yohei Sato

Publication date: 14 June 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0070-9

zbMATH Keywords

nonlinear Schrödinger equationscritical frequencyexistence of multi-peak positive solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items

Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝ^N ⋮ Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials ⋮ Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations ⋮ Localized solutions of nonlinear Schrödinger systems with critical frequency for infinite attractive case ⋮ Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations

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