Results 181 to 190 of about 1,647 (209)

Geometric optics for the Kirchhoff-type equations

Journal d'Analyse Mathématique, 2003
The 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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Liouville-type Theorem for Fractional Kirchhoff Equations with Weights

Bulletin of the Iranian Mathematical Society, 2020
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Anh Tuan Duong, Duc Hiep Pham
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Existence of Solution for a Singular Elliptic Equation of Kirchhoff Type

Mediterranean Journal of Mathematics, 2017
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Li, Qingwei, Gao, Wenjie, Han, Yuzhu
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A note about positive solutions for an equation of Kirchhoff type

Applied Mathematics and Computation, 2011
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André L. M. Martinez, Emerson V. Castelani, Jair da Silva, Wesley V. I. Shirabayashi   +3 more
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On a quasilinear Schrödinger–Kirchhoff-type equation with radial potentials

Nonlinear Analysis: Theory, Methods & Applications, 2013
The author investigates a quasilinear Schrödinger-Kirchhoff equation with radial potentials. The result is an application of the Mountain Pass Theorem and the symmetric Mountain Pass Theorem. The author shows existence of non trivial solutions of the problem \[ -\left(a+b\int_{R^N} |\nabla u|^p dx\right)^{p-1} \Delta_p u + V(|x|)|u|^{p-2}U =q(|x|)f(u) \
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Concentrated solution of Kirchhoff-type equations

Applicable Analysis, 2022
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A note on Kirchhoff-type equations with Hartree-type nonlinearities

Nonlinear Analysis: Theory, Methods & Applications, 2014
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Quasilinear degenerate parabolic equations of Kirchhoff type

Mathematical Methods in the Applied Sciences, 1999
The 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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Multiple solutions for Schrödinger–Kirchhoff equations with indefinite potential

Applied Mathematics Letters, 2022
Shuai Jiang, Shibo Liu
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Normalized solutions to the fractional Kirchhoff equations with a perturbation

Applicable Analysis, 2023
Lintao Liu, Haibo Chen
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