Results 21 to 30 of about 30,910 (222)
Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]
Mathematica Moravica, 2021 A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge +3 more
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Boundary 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
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The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
Electronic 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
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Existence and Concentration Results for the General Kirchhoff-Type Equations
The Journal of Geometric Analysis, 2023 We consider the following singularly perturbed Kirchhoff type equations $$-\varepsilon^2 M\left(\varepsilon^{2-N}\int_{\R^N}|\nabla u|^2 dx\right)Δu +V(x)u=|u|^{p-2}u~\hbox{in}~\R^N, u\in H^1(\R^N),N\geq 1,$$ where $M\in C([0,\infty))$ and $V\in C(\R^N)$ are given functions.
Yinbin Deng, Wei Shuai, Xuexiu Zhong
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Ground State Solutions for Kirchhoff Type Quasilinear Equations
Advanced Nonlinear Studies, 2018 Abstract In this paper, we are concerned with quasilinear equations of Kirchhoff type, and prove the existence of ground state signed solutions and sign-changing solutions by using the Nehari method.
Liu Xiangqing, Zhao Junfang
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SOLUTIONS FOR THE KIRCHHOFF TYPE EQUATIONS WITH FRACTIONAL LAPLACIAN
Journal of Applied Analysis & Computation, 2020 Summary: Due to the singularity and nonlocality of the fractional Laplacian, the classical tools such as Sturm comparison, Wronskians, Picard-Lindelöf iteration, and shooting arguments (which are all purely local concepts) are not{ applicable} when analyzing solutions in the setting of the nonlocal operator \((-\Delta)^s\).
Jia, Yanping, Gao, Ying, Zhang, Guang
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Existence of high energy solutions for Kirchhoff-type equations [PDF]
Proceedings 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
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A multiplicity result for asymptotically linear Kirchhoff equations
Advances in Nonlinear Analysis, 2017 In this paper, we study the following Kirchhoff type equation:
Ji Chao, Fang Fei, Zhang Binlin
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Global well-posedness of the Kirchhoff equation and Kirchhoff systems [PDF]
, 2014 This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data.
E Callegari +22 more
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The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method
Analele 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
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