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

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.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240297
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

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

Hongjie Zhu, Hong-Min Suo, Jiafeng Zhang
Journal of Applied Analysis & Computation
Nonlinear Differential Equations Analysis
article

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

Hongjie Zhu, Hong-Min Suo, Jiafeng Zhang
article en

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.

Journal of Applied Analysis & ComputationVol. 15(3)
Openalex Percentile: Top 79%
Nonlinear Differential Equations Analysis
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MULTIPLE POSITIVE SOLUTIONS OF FRACTIONAL SCHRÖDINGER-POISSON SYSTEM WITH STRONG SINGULARITIES AND DOUBLE CRITICAL EXPONENTS — Hongjie Zhu, Hong-Min Suo, et al. · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS