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

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

This paper is devoted to establishing multiplicity results of nontrivial weak solutions to the fractional <i>p</i>-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...

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Bibliographic Details
Main Author: Yun-Ho Kim
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
fractional p-Laplacian
Hardy potential
Kirchhoff function
weak solution
variational method
Online Access:https://www.mdpi.com/2227-7390/13/1/47
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Summary:This paper is devoted to establishing multiplicity results of nontrivial weak solutions to the fractional <i>p</i>-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.
ISSN:2227-7390

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