Geodesic
Quasilinear Parabolic Problem with $p(x)$-Laplacian Operator by Topological Degree
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 4, p. 523

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We prove the existence of a weak solution for the quasilinear parabolic initial boundary value problem associated to the equation $ u_{t}-\Delta_{p(x)}u=h, $ by using the Topological degree theory for operators of the form $L+S$, where $L$ is a linear densely defined maximal monotone map and $S$ is a bounded demicontinuous map of class $(S_+)$ with respect to the domain of $L$.
Classification : 35K59 46E35, 47H11, DOI
Keywords: quasilinear parabolic problems, variable exponents, topological degree, $p(x)$-Laplacian 
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     author = {Mustapha Ait Hammou},
     title = {Quasilinear {Parabolic} {Problem} with $p(x)${-Laplacian} {Operator} by {Topological} {Degree}},
     journal = {Kragujevac Journal of Mathematics},
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Mustapha Ait Hammou. Quasilinear Parabolic Problem with $p(x)$-Laplacian Operator by Topological Degree. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 4, p. 523 . http://geodesic.mathdoc.fr/item/KJM_2023_47_4_a2/