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

DOI10.3934/mbe.2021144zbMath1472.35245OpenAlexW3138693148MaRDI QIDQ1981310

Fugeng Zeng, Min Jiang, Peng Shi, Yao Huang

Publication date: 10 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021144

zbMATH Keywords

logarithmic Sobolev inequalitydecay estimateextinction property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Non-extinction of solutions to a fast diffusive \(p\)-Laplace equation with Neumann boundary conditions
• Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
• Extinction properties of solutions for a class of fast diffusive \(p\)-Laplacian equations
• Extinction and non-extinction for a \(p\)-Laplacian equation with nonlinear source
• The extinction behavior of the solutions for a class of reaction-diffusion equations.
• Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
• The Nehari manifold for fractional \(p\)-Laplacian equation with logarithmic nonlinearity on whole space
• Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity
• Decay estimate and non-extinction of solutions of \(p\)-Laplacian nonlocal heat equations
• Sign-changing solutions for a class of \(p\)-Laplacian Kirchhoff-type problem with logarithmic nonlinearity
• Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity
• Periodic and subharmonic solutions for a class of sublinear first-order Hamiltonian systems
• Matrix domain of a regular matrix derived by Euler totient function in the spaces \(c_0\) and \(c\)
• Nonlocal Kirchhoff problems: extinction and non-extinction of solutions
• Global existence and blow-up for a mixed pseudo-parabolic \(p\)-Laplacian type equation with logarithmic nonlinearity
• Blow-up phenomena for a pseudo-parabolic equation with \(p\)-Laplacian and logarithmic nonlinearity terms
• Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity
• Fractional eigenvalues
• Non-local Diffusions, Drifts and Games
• Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
• Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities
• The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity
• A critical fractional Choquard–Kirchhoff problem with magnetic field

This page was built for publication: Initial boundary value problem for fractional \(p \)-Laplacian Kirchhoff type equations with logarithmic nonlinearity