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Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian

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Abstract

This paper is devoted to study an anomalous diffusion model of Kirchhoff type driven by a nonlocal integro-differential operator. The properties of solutions, such as vacuum isolating phenomena, global existence, extinction, exponentially decay, exponentially growth, and finite time blow-up were studied by potential well method and energy estimate method. The results of this paper extend and complete the recent studies on this model.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, People’s Republic of China

    Guangyu Xu

  2. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Jun Zhou

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  1. Guangyu Xu
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  2. Jun Zhou
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The authors contributed equally in this article. They have all read and approved the final manuscript.

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Correspondence to Jun Zhou.

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Xu, G., Zhou, J. Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian. Appl Math Optim 84 (Suppl 1), 465–508 (2021). https://doi.org/10.1007/s00245-021-09776-6

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