Global boundedness of weak solutions to a chemotaxis-haptotaxis model with \(p\)-Laplacian diffusion (Q6054930)
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scientific article; zbMATH DE number 7754464
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global boundedness of weak solutions to a chemotaxis-haptotaxis model with \(p\)-Laplacian diffusion |
scientific article; zbMATH DE number 7754464 |
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Global boundedness of weak solutions to a chemotaxis-haptotaxis model with \(p\)-Laplacian diffusion (English)
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25 October 2023
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From purely mathematical motivations, the linear or PME type diffusion term in a chemotaxis-haptotaxis model (cf. e.g. [\textit{M. A. J. Chaplain} and \textit{G. Lolas}, Netw. Heterog. Media 1, No. 3, 399--439 (2006; Zbl 1108.92023)]) is replaced by \(p\)-Laplacian diffusion. For sufficiently large values of \(p\), existence of global bounded weak solutions is shown.
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chemotaxis-haptotaxis
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global boundedness
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weak solutions
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\(p\)-Laplacian diffusion
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