Global existence and blow-up of solutions for a \(\mathtt{p}\)-Kirchhoff type parabolic equation with logarithmic nonlinearity

DOI10.1007/S41808-022-00181-WzbMath1501.35091OpenAlexW4293093723WikidataQ113890943 ScholiaQ113890943MaRDI QIDQ2091766

Sa-Botta Bharathi, Rajendra Prasad Kapula, Mahammad Khuddush

Publication date: 2 November 2022

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-022-00181-w

zbMATH Keywords

global existenceblow uppotential welllogarithmic nonlinearity\(\mathtt{p}\)-Kirchhoff

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) Integro-partial differential equations (35R09)

Related Items (1)

Unnamed Item

Cites Work

• Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: Time-decay estimates
• On a global solution of some quasilinear hyperbolic equation
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• On potential wells and vacuum isolating of solutions for semilinear wave equations
• Kirchhoff type equations with strong singularities
• Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Positive solutions for an iterative system of nonlinear elliptic equations
• Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity
• On potential wells and applications to semilinear hyperbolic equations and parabolic equations
• On global solution of nonlinear hyperbolic equations
• On global solvability of non‐linear viscoelastic equations in the analytic category
• GLOBAL EXISTENCE AND FINITE TIME BLOW-UP OF SOLUTIONS TO A NONLOCAL P-LAPLACE EQUATION
• Existence of positive solution for a class of nonlocal problem with strong singularity and linear term
• Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent

This page was built for publication: Global existence and blow-up of solutions for a \(\mathtt{p}\)-Kirchhoff type parabolic equation with logarithmic nonlinearity