### Mathematical Biosciences and Engineering

2021, Issue 3: 2832-2848. doi: 10.3934/mbe.2021144
Research article Special Issues

# Initial boundary value problem for fractional $p$-Laplacian Kirchhoff type equations with logarithmic nonlinearity

• Received: 16 February 2021 Accepted: 15 March 2021 Published: 24 March 2021
• In this paper, we study the initial boundary value problem for a class of fractional $p$-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity. Under suitable assumptions, we obtain the extinction property and accurate decay estimates of solutions by virtue of the logarithmic Sobolev inequality. Moreover, we discuss the blow-up property and global boundedness of solutions.

Citation: Peng Shi, Min Jiang, Fugeng Zeng, Yao Huang. Initial boundary value problem for fractional $p$-Laplacian Kirchhoff type equations with logarithmic nonlinearity[J]. Mathematical Biosciences and Engineering, 2021, 18(3): 2832-2848. doi: 10.3934/mbe.2021144

### Related Papers:

• In this paper, we study the initial boundary value problem for a class of fractional $p$-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity. Under suitable assumptions, we obtain the extinction property and accurate decay estimates of solutions by virtue of the logarithmic Sobolev inequality. Moreover, we discuss the blow-up property and global boundedness of solutions.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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