Electron. J. Differential Equations, Vol. 2020 (2020), No. 16, pp. 1-16.

Boundedness and global solvability for a chemotaxis-haptotaxis model with p-Laplacian diffusion

Changchun Liu, Pingping Li

Abstract:
We consider a chemotaxis-haptotaxis system with $p$ -Laplacian diffusion in three dimensional bounded domains. It is asserted that for any p>2, under the appropriate assumptions, the chemotaxis-haptotaxis system admits a global bounded weak solution if for initial data satisfies certain conditions.

Submitted February 12, 2019. Published February 10, 2020.
Math Subject Classifications: 92C17, 35K65, 35K92.
Key Words: Chemotaxis-haptotaxis; p-Laplacian diffusion; global solution.
DOI: 10.58997/ejde.2020.16

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Changchun Liu
School of Mathematics
Jilin University
Changchun 130012, China
email: liucc@jlu.edu.cn
Pingping Li
School of Mathematics
Jilin University
Changchun 130012, China
email: 1522201343@qq.com

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