Normalized solutions to the fractional Schrödinger equations with potential and saturable nonlinearity

This paper is concerned with the existence of normalized solutions to a kind of fractional Schrödinger equations driven by a fractional operator with a parametric potential term and a saturable nonlinear term. We achieve the minimization of the energy functional and prove the existence of normalized solutions for the equation under specific conditions that we assume for the potential and saturable nonlinearity.

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Publication Details

Journal
Modern Mathematical Methods
Published
2025-08-20
DOI
https://doi.org/10.64700/mmm.53
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

Normalized solutions to the fractional Schrödinger equations with potential and saturable nonlinearity

Qiongfen Zhang, Wenyu Liao
Modern Mathematical Methods
Advanced Mathematical Physics Problems
article

Normalized solutions to the fractional Schrödinger equations with potential and saturable nonlinearity

Qiongfen Zhang, Wenyu Liao
article en

Abstract

This paper is concerned with the existence of normalized solutions to a kind of fractional Schrödinger equations driven by a fractional operator with a parametric potential term and a saturable nonlinear term. We achieve the minimization of the energy functional and prove the existence of normalized solutions for the equation under specific conditions that we assume for the potential and saturable nonlinearity.

Modern Mathematical MethodsVol. 3(2)
Guilin University of Technology (CN)
National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province
Openalex Percentile: Top 73%
Advanced Mathematical Physics Problems
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