kirchhoff equation
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scholarly journals Longer Lifespan for Many Solutions of the Kirchhoff Equation

2022 ◽  
Vol 54 (1) ◽  
pp. 306-342
Author(s):  
Pietro Baldi ◽  
Emanuele Haus
Keyword(s):  
Kirchhoff Equation

Non-degeneracy of single-peak solutions to a Kirchhoff equation

2021 ◽  
pp. 1-7
Author(s):  
Jiahong Yan ◽  
Jing Yang
Keyword(s):  
Kirchhoff Equation ◽  
Single Peak

scholarly journals Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Abdelbaki Choucha ◽  
Salah Boulaaras
Keyword(s):  
Asymptotic Behavior ◽  
Decay Rate ◽  
Energy Method ◽  
Distributed Delay ◽  
Type Equation ◽  
General Decay ◽  
Kirchhoff Equation ◽  
General Decay Rate ◽  
Kirchhoff Type ◽  
Nonlinear Viscoelastic

AbstractA nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.

Normalized solutions for the Kirchhoff equation on noncompact metric graphs *

Nonlinearity ◽  
2021 ◽  
Vol 34 (10) ◽  
pp. 6963-7004
Author(s):  
Shijie Qi
Keyword(s):  
Kirchhoff Equation ◽  
Metric Graphs ◽  
Normalized Solutions

Existence of solutions for p-Laplacian parabolic Kirchhoff equation

2021 ◽  
pp. 107527
Author(s):  
Wenjing Chen ◽  
Ting Zhou
Keyword(s):  
Existence Of Solutions ◽  
Kirchhoff Equation

scholarly journals Qualitative analysis of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity

2021 ◽  
Vol 4 (2) ◽  
pp. 1-10
Author(s):  
Erhan Pişkin ◽  
◽  
Tuğrul Cömert ◽  
Keyword(s):  
Weak Solution ◽  
Boundary Value Problem ◽  
Blow Up ◽  
Parabolic Type ◽  
Initial Boundary ◽  
Global Weak Solution ◽  
Initial Boundary Value Problem ◽  
Kirchhoff Equation ◽  
Potential Wells ◽  
Initial Boundary Value

In this work, we investigate the initial boundary-value problem for a parabolic type Kirchhoff equation with logarithmic nonlinearity. We get the existence of global weak solution, by the potential wells method and energy method. Also, we get results of the decay and finite time blow up of the weak solutions.

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