Results 191 to 200 of about 30,910 (222)
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Infinitely Many Solutions for Kirchhoff-Type Equations Involving Degenerate Operator
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, J., Li, L., Chen, Sh.
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On a fractional Kirchhoff-type equation via Krasnoselskii’s genus
Asymptotic Analysis, 2015In this paper we study a highly nonlocal problem involving a fractional operator combined with a Kirchhoff-type coefficient. The latter is allowed to vanish at the origin (degenerate case). Precisely, we consider the following nonlocal problem − M ( ∥ u ∥ X 0 2 ) L K u = f ( x , u ) ( ∫ Ω ( ∫ 0 u ( x ) f ( x , τ ) d τ ) d x ) r in Ω , u = 0 in R n ...
FIGUEIREDO G. M +2 more
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Groundstates for Kirchhoff-Type Equations with Hartree-Type Nonlinearities
Results in Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yan, Li, Xinfu, Ma, Shiwang
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Positive Solutions for the Kirchhoff-Type Equation with Hartree Nonlinearities
Mediterranean Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Shanni, Che, Guofeng
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Quasilinear degenerate parabolic equations of Kirchhoff type
Mathematical Methods in the Applied Sciences, 1999The main goal is to investigate the well-posedness of solutions of the abstract Kirchhoff equation \(u' + m(\| A^{1/2} u\|^2) A u =0\), \(u(0)=u_0\) in the Hilbert space \(H\). Here \(A:D(A)\subset H\to H\) is a selfadjoint nonnegative linear operator in \(H\).
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Geometric optics for the Kirchhoff-type equations
Journal d'Analyse Mathématique, 2003The author presents a method for finding small-amplitude, high-frequency wave solutions of Kirchhoff-type hyperbolic systems of nonlocal quasilinear partial differential equations. In this work, the author introduces his main result of the geometric optics on the asymptotic solutions of a first order symmetric strictly hyperbolic system by proving the ...
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On Kirchhoff type equations with critical Sobolev exponent
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yisheng Huang, Zeng Liu, Yuanze Wu
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Normalized solutions for the general Kirchhoff type equations
Acta Mathematica ScientiazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Wenmin +2 more
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Nontrivial Solutions for One-Dimensional Fourth-Order Kirchhoff-Type Equations
Mediterranean Journal of Mathematics, 2014Let \(K:[0,+\infty[\longrightarrow\mathbb{R}\) be a continuous function such that there exist positive numbers \(m_{0}\) and \(m_{1}\) with \(m_{0}\leq K(t)\leq m_{1}\) for all \(t\geq 0\). Consider the following fourth-order Kirchhoff-type problem \[ \begin{aligned} & u^{iv}+K\big(\int^{1}_{0}(-A\left|u'(x)\right|^{2}+B\left|u(x)\right|^{2})dx\big)(Au'
Heidarkhani, Shapour +2 more
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Remarks on an elliptic equation of Kirchhoff type
Nonlinear Analysis: Theory, Methods & Applications, 2005Abstract We present a short survey on the nonlocal elliptic boundary value problem - M ∫ Ω | ∇ u | 2 d x Δ u = f ( x , u ) in Ω , u = 0 on ∂ Ω , where Ω is a smooth bounded domain of R N , M is a positive function, and f has subcritical growth.
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