Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential

In this paper, we study the multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential. First, by using some ideas of the fountain theorem, we define a sequence of minimax values, and then we prove that these minimax values are critical values of the energy function restricted to a constraint set, which leads to the multiplicity of normalized solutions and extends some related results.

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Publication Details

Journal
Boundary Value Problems
Published
2024-11-20
DOI
https://doi.org/10.1186/s13661-024-01968-7
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
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article

Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential

Xinsheng Du, Shanshan Wang
Boundary Value Problems
Nonlinear Partial Differential Equations
article

Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential

Xinsheng Du, Shanshan Wang
article en

Abstract

In this paper, we study the multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential. First, by using some ideas of the fountain theorem, we define a sequence of minimax values, and then we prove that these minimax values are critical values of the energy function restricted to a constraint set, which leads to the multiplicity of normalized solutions and extends some related results.

Boundary Value ProblemsVol. 2024(1)
Qufu Normal University (CN)
Openalex Percentile: Top 66%
Nonlinear Partial Differential Equations
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