Discontinuity, Nonlinearity, and Complexity
On an Elliptic Equation of $p(x)$-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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