Results 21 to 30 of about 2,044 (212)
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
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The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
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
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A multiplicity result for asymptotically linear Kirchhoff equations
In this paper, we study the following Kirchhoff type equation:
Ji Chao, Fang Fei, Zhang Binlin
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Existence of high energy solutions for Kirchhoff-type equations [PDF]
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
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Multiple solutions for a Kirchhoff-type equation with general nonlinearity
This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
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
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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
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Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations
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
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Kirchhoff type equations with strong singularities
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Sun, Yijing, Tan, Yuxin
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Resonance problems for Kirchhoff type equations
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
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