Mathematical Biosciences and Engineering (Apr 2021)

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

  • Peng Shi,
  • Min Jiang,
  • Fugeng Zeng,
  • Yao Huang

DOI
https://doi.org/10.3934/mbe.2021144
Journal volume & issue
Vol. 18, no. 3
pp. 2832 – 2848

Abstract

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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.

Keywords