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March  2020, 19(3): 1399-1419. doi: 10.3934/cpaa.2020070

## Global existence for a chemotaxis-haptotaxis model with $p$-Laplacian

 Department of Mathematics, Jilin University, Changchun 130012, China

Received  April 2019 Revised  September 2019 Published  November 2019

Fund Project: This work is supported by the Jilin Scientific and Technological Development Program (no. 20170101143JC)

This paper deals with a chemotaxis-haptotaxis model with the slow $p$-Laplacian diffusion in three-dimensional smooth bounded domains. It is proved that for any $p>2$, the chemotaxis-haptotaxis model problem admits a global bounded weak solution if $\frac{\chi}{\mu}$ is appropriately small.

Citation: Changchun Liu, Pingping Li. Global existence for a chemotaxis-haptotaxis model with $p$-Laplacian. Communications on Pure & Applied Analysis, 2020, 19 (3) : 1399-1419. doi: 10.3934/cpaa.2020070
##### References:

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