Extinction and non-extinction of solutions for nonlocal fractional \(p\)-Kirchhoff problem with logarithmic nonlinearity

DOI10.1016/J.AML.2024.109243zbMATH Open1547.35737MaRDI QIDQ6592479

Xianfeng Zhou, Fanmeng Meng, Sen Wang

Publication date: 26 August 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

extinctionglobal existencefractional \(p\)-Laplaciannon-extinctionlogarithmic nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

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• Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator
• Finite-time blow-up in hyperbolic Keller-Segel system of consumption type with logarithmic sensitivity

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