[PDF][PDF] Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity

Y Cao, C Liu - 2018 - digital.library.txstate.edu
We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian
type equation with logarithmic nonlinearity. Constructing a family of potential wells and using …

Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity

E Pişkin, S Boulaaras, N Irkil - Mathematical Methods in the …, 2021 - Wiley Online Library
In this paper, the p‐Laplacian hyperbolic type equation with logarithmic nonlinearity and
weak damping term are considered, where the global existence of solutions by using the …

[HTML][HTML] Finite time blow-up for a thin-film equation with initial data at arbitrary energy level

F Sun, L Liu, Y Wu - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this paper, we consider the initial boundary value problem for a class of thin-film
equations in R n with a p-Laplace term and a nonlocal source term| u| q− 2 u− 1| Ω|∫ Ω| u …

Global Existence and Decay Estimates of Energy of Solutions for a New Class of p‐Laplacian Heat Equations with Logarithmic Nonlinearity

SM Boulaaras, A Choucha, A Zara… - Journal of Function …, 2021 - Wiley Online Library
The present research paper is related to the analytical studies of p‐Laplacian heat
equations with respect to logarithmic nonlinearity in the source terms, where by using an …

[HTML][HTML] Blow-up and extinction for a thin-film equation with initial-boundary value conditions

C Qu, W Zhou - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
In this paper, we consider an initial-boundary value problem for a thin-film equation, with the
nonlocal source| u| q−⨍ Ω| u| qdx in a bounded domain. Due to the comparison principle …

Global existence of solutions for the viscoelastic Kirchhoff equation with logarithmic source terms

N Mezouar, SM Boulaaras, A Allahem - Complexity, 2020 - Wiley Online Library
In this paper, a nonlinear viscoelastic Kirchhoff equation in a bounded domain with a time‐
varying delay term and logarithmic nonlinearity in the weakly nonlinear internal feedback is …

Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations.

S Toualbia, A Zaraï, S Boulaaras - AIMS Mathematics, 2020 - go.gale.com
The main goal of this work is to study the initial boundary value problem of a nonlocal heat
equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic …

[HTML][HTML] Blow-up for a thin-film equation with positive initial energy

J Zhou - Journal of Mathematical Analysis and Applications, 2017 - Elsevier
In this paper, we consider a thin-film equation with nonlocal source, which was studied by
Qu and Zhou (2016)[11], where the authors derived the conditions for global existence, blow …

Finite-time blow-up and extinction rates of solutions to an initial Neumann probleminvolving the operator and a non-localterm

B Guo, W Gao - Discrete and Continuous Dynamical Systems, 2015 - aimsciences.org
The authors of this paper study some singular phenomena (blowing-up or vanishing in finite
time) of solutions to the initial homogeneous $\hbox {Neumann} $ problem of a nonlinear …

[HTML][HTML] Blowup, extinction and non-extinction for a nonlocal p-biharmonic parabolic equation

A Hao, J Zhou - Applied Mathematics Letters, 2017 - Elsevier
This paper is devoted to study a class of p-biharmonic parabolic equation with nonlocal
source in a bounded domain. Under appropriate conditions, we get the results on blowup …