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Multiplicity Results of Solutions to the Fractional p -Laplacian Problems of the Kirchhoff–Schrödinger–Hardy Type

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  • Yun-Ho Kim

    (Department of Mathematics Education, Sangmyung University, Seoul 03016, Republic of Korea)

Abstract

This paper is devoted to establishing multiplicity results of nontrivial weak solutions to the fractional p -Laplacian equations of the Kirchhoff–Schrödinger type with Hardy potentials. The main features of the paper are the appearance of the Hardy potential and nonlocal Kirchhoff coefficients, and the absence of the compactness condition of the Palais–Smale type. To demonstrate the multiplicity results, we exploit the fountain theorem and the dual fountain theorem as the main tools, respectively.

Suggested Citation

  • Yun-Ho Kim, 2024. "Multiplicity Results of Solutions to the Fractional p -Laplacian Problems of the Kirchhoff–Schrödinger–Hardy Type," Mathematics, MDPI, vol. 13(1), pages 1-26, December.
    • Handle: RePEc:gam:jmathe:v:13:y:2024:i:1:p:47-:d:1554039
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    References listed on IDEAS

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    1. Kanishka Perera & Marco Squassina & Yang Yang, 2016. "Bifurcation and multiplicity results for critical fractional p-Laplacian problems," Mathematische Nachrichten, Wiley Blackwell, vol. 289(2-3), pages 332-342, February.
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