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

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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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-04
DOI
https://doi.org/10.5269/bspm.70524
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

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

Jalila El Ghordaf, Brahim El Boukari, Ihya Talibi
Boletim da Sociedade Paranaense de Matemática
Nonlinear Partial Differential Equations
article

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

Jalila El Ghordaf, Brahim El Boukari, Ihya Talibi
article en

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.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Université Sultan Moulay Slimane (MA)
Openalex Percentile: Top 95%
Nonlinear Partial Differential Equations
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