On an Elliptic Equation of $p(x)$-Kirchhoff Type with Convection Term and Singular Weights

Ayoub Zaki; , Mustapha Haddaoui; , Walid Bochiha

Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

On an Elliptic Equation of

p (x)

$p(x)$ -Kirchhoff Type with Convection Term and Singular Weights

Discontinuity, Nonlinearity, and Complexity 14(2) (2025) 269--278 | DOI:10.5890/DNC.2025.06.002

Ayoub Zaki $^{1}$ , Mustapha Haddaoui $^{2}$ , Walid Bochiha $^{1}$

$^{1}$ LAMAO Laboratory, Department of Mathematics, FSO, University of Mohamed Premier, Oujda, Morocco

$^{2}$ ROALI Team, LMIMA Laboratory,FST-Erachidia, Moulay Ismail University of Meknes, Meknes, Morocco

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Abstract

In this paper we will use new compact embedding and by Galerkin's approach we prove the existence of at least one solution to a p(x)-Kirchhoff problem with convection term and singular weights.

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