MULTIPLE POSITIVE SOLUTIONS OF FRACTIONAL SCHRÖDINGER-POISSON SYSTEM WITH STRONG SINGULARITIES AND DOUBLE CRITICAL EXPONENTS

Hongjie Zhu; Jiafeng Zhang; Hongmin Suo

doi:10.11948/20240297

2025 Volume 15 Issue 3

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Hongjie Zhu, Jiafeng Zhang, Hongmin Suo. MULTIPLE POSITIVE SOLUTIONS OF FRACTIONAL SCHRÖDINGER-POISSON SYSTEM WITH STRONG SINGULARITIES AND DOUBLE CRITICAL EXPONENTS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1580-1600. doi: 10.11948/20240297

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Hongjie Zhu, Jiafeng Zhang, Hongmin Suo. MULTIPLE POSITIVE SOLUTIONS OF FRACTIONAL SCHRÖDINGER-POISSON SYSTEM WITH STRONG SINGULARITIES AND DOUBLE CRITICAL EXPONENTS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1580-1600. doi: 10.11948/20240297

MULTIPLE POSITIVE SOLUTIONS OF FRACTIONAL SCHRÖDINGER-POISSON SYSTEM WITH STRONG SINGULARITIES AND DOUBLE CRITICAL EXPONENTS

1.
School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China

Author Bio: Email: 1184657117@qq.com(H. Zhu); Email: 11394861@qq.com(H. Suo)
Corresponding author: Email: jiafengzhang@163.com(J. Zhang)
Fund Project: The authors were supported by the National Natural Science Foundation of China (No. 12461024), the Natural Science Research Project of Department of Education of Guizhou Province (No. QJJ2023012, QJJ2023061, QJJ2023062), the Natural Science Research Project of Guizhou Minzu University (No. GZMUZK[2022]YB06)

Abstract

Abstract

This research focuses on analyzing a specific type of fractional Schrödinger-Poisson system that contains strong singular terms and double critical exponents. By employing the critical point theory for nonsmooth functionals and mountain pass theorem, it is demonstrated that there are two positive solutions to this system.
- Strong singularity /
- double critical exponents /
- critical point theory /
- nonsmooth functionals
MSC: 35B09, 35B25

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References

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