Results 1 to 10 of about 26,442 (220)
Multiple solutions for critical Choquard-Kirchhoff type equations [PDF]
Advances in Nonlinear Analysis, 2020 In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents,
Liang Sihua +2 more
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Existence of solutions for fourth order elliptic equations of Kirchhoff type on $R^N$ [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we study the positive solutions to a class of fourth order elliptic equations of Kirchhoff type on $R^N$ by using variational methods and the truncation method.
Fanglei Wang, Tianqing An, Yukun An
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Multiple Sign-Changing Solutions for Kirchhoff-Type Equations [PDF]
Discrete Dynamics in Nature and Society, 2015 We study the following Kirchhoff-type equations -a+b∫Ω∇u2dxΔu+Vxu=fx,u, in Ω, u=0, in ∂Ω, where Ω is a bounded smooth domain of RN (N=1,2,3), a>0, b≥0, f∈C(Ω¯×R,R), and V∈C(Ω¯,R).
Xingping Li, Xiumei He
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Bifurcation diagrams of one-dimensional Kirchhoff-type equations
Advances in Nonlinear Analysis, 2022 We study the one-dimensional Kirchhoff-type equation −(b+a‖u′‖2)u″(x)=λu(x)p,x∈I≔(−1,1),u(x)>0,x∈I,u(±1)=0,-\left(b+a\Vert u^{\prime} {\Vert }^{2}){u}^{^{\prime\prime} }\left(x)=\lambda u{\left(x)}^{p},\hspace{1em}x\in I:= \left(-1,1),\hspace{1em}u\left ...
Shibata Tetsutaro
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Ground State Solutions for Kirchhoff Type Quasilinear Equations
Advanced Nonlinear Studies, 2019 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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Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces [PDF]
Abstract and Applied Analysis, 2010 In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of p(x ...
Bilal Cekic, Rabil A. Mashiyev
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Existence of solutions for Kirchhoff type equations
Electronic Journal of Differential Equations, 2015 In this article, we prove the existence of solutions for Kirchhoff type equations with Dirichlet boundary-value condition. We use the Mountain Pass Theorem in critical point theory, without the (PS) condition.
Qi-Lin Xie, Xing-Ping Wu, Chun-Lei Tang
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Eigenvalue problems for p(x)-Kirchhoff type equations
Electronic Journal of Differential Equations, 2013 In this article, we study the nonlocal $p(x)$-Laplacian problem $$\displaylines{ -M\Big(\int_{\Omega}\frac{1}{p(x)}|\nabla u|^{p(x)}dx\Big) \hbox{div}(|\nabla u|^{p(x)-2}\nabla u)= \lambda|u|^{q(x)-2}u \quad \text{ in } \Omega,\cr u=0 \quad \text{on
Ghasem A. Afrouzi, Maryam Mirzapour
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Existence of positive solutions for Kirchhoff type equations
Electronic Journal of Differential Equations, 2013 In this article, we are interested in the existence of positive solutions for the Kirchhoff type problems $$displaylines{ -MBig(int_{Omega}|abla u|^p,dxBig)Delta_pu = lambda f(u) quad hbox{in } Omega,cr u > 0 quad hbox{in } Omega, quad u =0 quad ...
Ghasem A. Afrouzi +2 more
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BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS [PDF]
Journal of Mahani Mathematical Research, 2022 This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive ...
Fortuné Dohemeto +2 more
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