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Nontrivial Solutions for Time Fractional Nonlinear Schrödinger-Kirchhoff Type Equations
Discrete Dynamics in Nature and Society, 2017 We study the existence of solutions for time fractional Schrödinger-Kirchhoff type equation involving left and right Liouville-Weyl fractional derivatives via variational methods.
N. Nyamoradi +4 more
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Parameter Identification Problem for the Kirchhoff-Type Equation with Viscosity [PDF]
Abstract and Applied Analysis, 2012 The constant parameter identification problem in the Kirchhoff-type equation with viscosity is studied. The problem is formulated by a minimization of quadratic cost functionals by distributive measurements.
Jinsoo Hwang
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The quasilinear parabolic kirchhoff equation
Open Mathematics, 2017 In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
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Existence of solutions for a p(x)-Kirchhoff-type equation
Journal of Mathematical Analysis and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guowei Dai
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On the Kirchhoff type equations in $\mathbb{R}^{N}$
Advances in Differential Equations, 2022 Consider a nonlinear Kirchhoff type equation as follows \begin{equation*} \left\{ \begin{array}{ll} -\left( a\int_{\mathbb{R}^{N}}|\nabla u|^{2}dx+b\right) Δu+u=f(x)\left\vert u\right\vert ^{p-2}u & \text{ in }\mathbb{R}^{N}, \\ u\in H^{1}(\mathbb{R}^{N}), & \end{array}% \right.
Sun, Juntao, Wu, Tsung-Fang
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Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities
Advances in Nonlinear Analysis, 2021 We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
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n-Kirchhoff type equations with exponential nonlinearities [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015 Results from earlier version are improved. RACSAM - Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A.
Goyal, Sarika +2 more
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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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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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Mathematics, 2022 In this paper, we consider a new kind of Kirchhoff-type equation which is stated in the introduction. Under certain assumptions on potentials, we prove by variational methods that the equation has at least a ground state solution and investigate the ...
Li Zhou, Chuanxi Zhu
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