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

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

Math Biosci Eng

School of Date Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China.

Published: 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.

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Source
http://dx.doi.org/10.3934/mbe.2021144DOI Listing

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