Results 21 to 30 of about 2,044 (212)

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

open access: yesBoundary Value Problems, 2021
A 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.
Abdelbaki Choucha, Salah Boulaaras
doaj   +1 more source

The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
doaj   +1 more source

A multiplicity result for asymptotically linear Kirchhoff equations

open access: yesAdvances in Nonlinear Analysis, 2017
In this paper, we study the following Kirchhoff type equation:
Ji Chao, Fang Fei, Zhang Binlin
doaj   +1 more source

Existence of high energy solutions for Kirchhoff-type equations [PDF]

open access: yesProceedings of the 2nd International Conference On Systems Engineering and Modeling, 2013
In this paper, by applying the fountain theorems, we study the existence of infinitely many high energy solutions for the nonlinear kirchhoff nonlocal equations under the Ambrosetti-Rabinowitz type growth conditions or no Ambrosetti-Rabinowitz type growth conditions, infinitely many high energy solutions are obtained.
Chun Han Liu, Jian Guo Wang
openaire   +1 more source

Multiple solutions for a Kirchhoff-type equation with general nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2018
This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
doaj   +1 more source

The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang   +2 more
doaj   +1 more source

A class of p1(x, ⋅) & p2(x, ⋅)-fractional Kirchhoff-type problem with variable s(x, ⋅)-order and without the Ambrosetti-Rabinowitz condition in ℝN

open access: yesOpen Mathematics, 2022
In this article, we study a class of Kirchhoff-type equation driven by the variable s(x, ⋅)-order fractional p1(x, ⋅) & p2(x, ⋅)-Laplacian. With the help of three different critical point theories, we obtain the existence and multiplicity of solutions in
Bu Weichun, An Tianqing, Zuo Jiabin
doaj   +1 more source

Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations

open access: yesTurkish Journal of Mathematics, 2022
Summary: This paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for \(p(.)\)-Kirchhoff-type equation \[ \begin{cases} M\left(\int_\Omega\frac{|\nabla u|^{p(x)}}{p(x)} dx\right)(-\Delta_{p(x)}u) = f(x, u), &\text{in }\Omega, \\ u=0, &\text{on }\partial\Omega.
AKBULUT, Sezgin   +2 more
openaire   +3 more sources

Kirchhoff type equations with strong singularities

open access: yesCommunications on Pure and Applied Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yijing, Tan, Yuxin
openaire   +3 more sources

Resonance problems for Kirchhoff type equations

open access: yesDiscrete and Continuous Dynamical Systems, 2013
The existence of weak solutions is obtained for some Kirchhoff type equations with Dirichlet boundary conditions which are resonant at an arbitrary eigenvalue under a Landesman-Lazer type condition by the minimax methods.
Jijiang Sun, Chun-Lei Tang
openaire   +1 more source

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