Sign-Changing Solutions to the Schrödinger Equations Coupled with a Neutral Scalar Field

Here we consider the problem of the Schrödinger equation coupled with a neutral scalar field. Through the methods of descending flow invariant sets via the Ljusternik–Schnirelman theory, we rigorously demonstrate the existence of infinitely many sign-changing solutions.

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Publication Details

Journal
Symmetry
Published
2025-11-13
DOI
https://doi.org/10.3390/sym17111955
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Sign-Changing Solutions to the Schrödinger Equations Coupled with a Neutral Scalar Field

Li-Feng Yin, Qinglei Hui, Hongwei Wang, Xiaoqi Liu
Symmetry
Nonlinear Partial Differential Equations
article

Sign-Changing Solutions to the Schrödinger Equations Coupled with a Neutral Scalar Field

Li-Feng Yin, Qinglei Hui, Hongwei Wang, Xiaoqi Liu
article en

Abstract

Here we consider the problem of the Schrödinger equation coupled with a neutral scalar field. Through the methods of descending flow invariant sets via the Ljusternik–Schnirelman theory, we rigorously demonstrate the existence of infinitely many sign-changing solutions.

SymmetryVol. 17(11)
Anyang Normal University (CN), Chengdu Normal University (CN), Sichuan Normal University (CN)
Openalex Percentile: Top 53%
Nonlinear Partial Differential Equations
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