Sign-changing multi-peak solutions for nonlinear Schrödinger equations with critical frequency

DOI10.3934/cpaa.2008.7.883zbMath1180.35197OpenAlexW2020697760MaRDI QIDQ933150

Yohei Sato

Publication date: 21 July 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2008.7.883

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

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Nodal solutions of an NLS equation concentrating on lower dimensional spheres ⋮ Existence and concentration of nodal solutions for a subcritical \textit{p\&q} equation ⋮ Sign-changing multi-peak solutions for nonlinear Schrödinger equations with compactly supported potential ⋮ Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations ⋮ Quadratic-argument approach to nonlinear Schrödinger equation and coupled ones ⋮ Concentration of nodal solutions for logarithmic scalar field equations ⋮ Localized solutions of nonlinear Schrödinger systems with critical frequency for infinite attractive case ⋮ Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity ⋮ Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations

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