Results 11 to 20 of about 98 (90)

Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

open access: yesOpen Mathematics, 2020
In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
doaj   +1 more source

Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

open access: yesAdvances in Nonlinear Analysis, 2023
We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
doaj   +1 more source

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

open access: yesAdvances 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

Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential

open access: yesAdvances in Nonlinear Analysis, 2021
This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
doaj   +1 more source

A class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian

open access: yes, 2020
This work is concerned with a class of diffusion problem of Kirchhoff type with viscoelastic term and nonlinear interior source in the setting of the fractional Laplacian.
LAPA, Eugenio Cabanillas   +3 more
core   +1 more source

Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
doaj   +1 more source

Orbital Stability of Solitary Waves to Fourth Order Dispersive Equations with Quadratic Nonlinearity [PDF]

open access: yes, 2019
[Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]; [Kutev N.; Kutev Nikolai; Кутев Николай]2010 Mathematics Subject Classification: 35B44 ...
Dimova, M., Kutev, N., Kolkovska, N.
core   +1 more source

Necessary and Sufficient Condition for Finite Time Blow up of the Solutions to Sixth Order Double Dispersive Equations [PDF]

open access: yes, 2018
[Kutev N.; Kutev Nikolai; Кутев Николай]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]The nonlinear double dispersive equation of sixth order with linear restoring force is investigated. Necessary and sufficient condition for finite time blow up
Dimova, M., Kutev, N., Kolkovska, N.
core   +1 more source

Application of the Improved Concavity Method to Sixth Order Boussinesq Equations with Arbitrary High Initial Energy [PDF]

open access: yes, 2015
[Kutev N.; Kutev Nikolai; Кутев Николай]; [Dimova M.; Димова М.]; [Kolkovska N.; Кольковска Н.]Finite time blow up of the solutions to sixth order Boussinesq equation with arbitrary positive initial energy is proved. An improved variant of the concavity
Dimova, M., Kutev, N., Kolkovska, N.
core   +1 more source

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

open access: yesAdvances 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

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