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February 19, 2026Advanced Nonlinear Studies0 citationsOpen Access

On the double critical p -fractional Schrödinger–Poisson system with electromagnetic fields in R3R^3

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XHXian HeSJShuguan JiPPPatrizia Pucci

Key Points

  • The aim is to explore the existence and multiplicity of solutions to the double critical p-fractional Schrödinger-Poisson system influenced by electromagnetic fields.
  • Application of variational methods to analyze the system.
  • Examination of critical points associated with the defined functional.
  • Consideration of electromagnetic fields in the context of the fractional equations.
  • Establishment of existence of at least one solution to the proposed system.
  • Indication of multiple solutions under certain conditions.
  • Implications for related theoretical frameworks in mathematical physics.

Abstract

Abstract This paper investigates the existence and multiplicity of solutions to the following double critical p -fractional Schrödinger–Poisson system with electromagnetic fields in R 3 R^3: ϵ p s − Δ p, A ϵ s u + V (x) | u | p − 2 u − ϕ | u | p s ♯ − 2 u = | u | p s * − 2 u + g x, | u | p | u | p − 2 u in R 3,

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Cite This Study

He et al. (2026) studied this question.

synapsesocial.com/papers/6996a7c3ecb39a600b3edc84https://doi.org/10.1515/ans-2023-0207
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