Results 11 to 20 of about 760 (78)

On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms

Boundary Value Problems, 2014
This paper is concerned with the study of damped wave equation of Kirchhoff type utt−M(∥∇u(t)∥22)△u+ut=g(u) in Ω×(0,∞), with initial and Dirichlet boundary condition, where Ω is a bounded domain of R2 having a smooth boundary ∂ Ω.
Gongwei Liu
semanticscholar   +2 more sources

Blowup in L1(Ω)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

Advances in Nonlinear Analysis, 2023
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity up{u}^{p} in a bounded domain Ω\Omega with the homogeneous Neumann boundary condition and positive initial values.
Floridia Giuseppe, Liu Yikan, Yamamoto Masahiro   +2 more
doaj   +1 more source

Dirichlet problems involving the Hardy-Leray operators with multiple polars

Advances in Nonlinear Analysis, 2023
Our aim of this article is to study qualitative properties of Dirichlet problems involving the Hardy-Leray operator ℒV≔−Δ+V{{\mathcal{ {\mathcal L} }}}_{V}:= -\Delta +V, where V(x)=∑i=1mμi∣x−Ai∣2V\left(x)={\sum }_{i=1}^{m}\frac{{\mu }_{i}}{{| x-{A}_{i}| }
Chen Huyuan, Chen Xiaowei
doaj   +1 more source

Singularity analysis for a semilinear integro-differential equation with nonlinear memory boundary

Journal of Inequalities and Applications, 2014
In this paper, we study the blow-up singularity of a semilinear parabolic equation with nonlinear memory both in the reaction term and the boundary condition.
Yulan Wang, Jiqin Chen, Cheng He
semanticscholar   +2 more sources

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

Advances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

Advances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed, Samet Bessem, Vetro Calogero   +2 more
doaj   +1 more source

Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions

Advances in Nonlinear Analysis, 2023
In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
doaj   +1 more source

Lack of smoothing for bounded solutions of a semilinear parabolic equation

Advances in Nonlinear Analysis, 2020
We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0.
Fila Marek, Lankeit Johannes
doaj   +1 more source

On Removable Singularities of Solutions of Higher-Order Differential Inequalities

Advanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
doaj   +1 more source

Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term

Advanced Nonlinear Studies, 2017
The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
doaj   +1 more source