Global existence and blow-up for the fractional \(p\)-Laplacian with logarithmic nonlinearity

DOI10.1007/s00009-020-01584-6zbMath1450.35145arXiv2006.11178OpenAlexW3082897096MaRDI QIDQ2006921

Tahir Boudjeriou

Publication date: 12 October 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11178

zbMATH Keywords

decay estimatespotential wellGalerkin approximationsdifferential inequality techniquelack of logarithmic Sobolev inequality

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)

Related Items (13)

Existence and nonexistence of global solutions for logarithmic hyperbolic equation ⋮ Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations ⋮ Global existence and finite time blow-up for a class of fractional \(p\)-Laplacian Kirchhoff type equations with logarithmic nonlinearity ⋮ Blow-up for a damped \(p\)-Laplacian type wave equation with logarithmic nonlinearity ⋮ Global well‐posedness and finite time blow‐up for a class of wave equation involving fractional p‐Laplacian with logarithmic nonlinearity ⋮ Qualitative analysis for a system of anisotropic parabolic equations with sign‐changing logarithmic nonlinearity ⋮ Global well-posedness of wave equation with weak and strong damping terms p-Laplacian and logarithmic nonlinearity source term ⋮ Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum ⋮ Unnamed Item ⋮ On the diffusion \(p(x)\)-Laplacian with logarithmic nonlinearity ⋮ Existence and non-existence of global solutions for a nonlocal Choquard-Kirchhoff diffusion equations in \(\mathbb{R}^N \) ⋮ Existence of solution for a class of heat equation in whole \(\mathbb{R}^N\) ⋮ Unnamed Item

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