Existence of weak solutions to the fractional p-Laplacian problems of Kirchhoff-type via topological degree

IHYA TALIBI; Brahim El Boukari; Jalila El Ghordaf

doi:10.5269/bspm.70524

Existence of weak solutions to the fractional p-Laplacian problems of Kirchhoff-type via topological degree

Authors

IHYA TALIBI sultan moulay slimane university
Brahim El Boukari
Jalila El Ghordaf

DOI:

https://doi.org/10.5269/bspm.70524

Abstract

In this work, we show the existence result of weak solutions for a class of Kirchhoff-type problems
with Dirichlet-type boundary conditions involving p-Laplacian operator. Under some appropriate conditions,
the existence of weak solutions is obtained by employing the Berkovits degree theory.

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Published

2025-02-04

Issue

Vol. 43 (2025)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

TALIBI, I., El Boukari, B., & El Ghordaf, J. (2025). Existence of weak solutions to the fractional p-Laplacian problems of Kirchhoff-type via topological degree. Boletim Da Sociedade Paranaense De Matemática, 43, 1-10. https://doi.org/10.5269/bspm.70524