Results 261 to 270 of about 163,164 (293)

On the p(X)-Kirchhoff-Type Equation Involving the p(X)-Biharmonic Operator via the Genus Theory

Ukrainian Mathematical Journal, 2020
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Taarabti, S., El Allali, Z., Haddouch, K. Ben   +2 more
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p⁢(x)p(x)-biharmonic operator involving the p⁢(x)p(x)-Hardy inequality

Georgian Mathematical Journal, 2018
Abstract In this work, we investigate the spectrum denoted by Λ for the p ⁢ ( x
Abdelouahed El Khalil, Mostafa El Moumni, Moulay Driss Morchid Alaoui, Abdelfattah Touzani   +3 more
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For a class of p(x)-biharmonic operators with weights

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
The paper is concerned with the fourth order nonlinear problem with \(p(x)\)-biharmonic operators \[ \begin{cases} \Delta(|\Delta u|^{p_1(x)-2}\Delta u)+\Delta (|\Delta u|^{p_2(x)-2}\Delta u)\\ \qquad =\lambda V_1(x)|u|^{q(x)-2}u-\mu V_2(x)|u|^{\alpha(x)-2}u,\,\,\,x\in\Omega, \\ u=\Delta u=0,\,\,\,x\in\partial \Omega, \end{cases}\tag{1} \] where ...
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Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator

Georgian Mathematical Journal, 2021
Abstract Differential equations with variable exponent arise from the nonlinear elasticity theory and the theory of electrorheological fluids. We study the existence of at least three weak solutions for the nonlocal elliptic problems driven by
Shapour Heidarkhani, Shahin Moradi, Mustafa Avci   +2 more
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Existence and Multiplicity of Solutions for Kirchhoff Type Problems Involving $p(x)$-Biharmonic Operators

Zeitschrift für Analysis und ihre Anwendungen, 2014
This paper is concerned with the existence and multiplicity of weak solutions for a p(x) -Kirchhoff type problem of the following form \left\{ \begin{alignedat}{2} M ...
Afrouzi, G. A., Mirzapour, M., Chung, N. T.   +2 more
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Multiplicity result for a system involving $(p(x), q(x))$-biharmonic operators with indefinite weight

Annals of Mathematical Sciences and Applications
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Kefi, Khaled, Nefzi, Chaima, Salaheddine, Mahmoud, Klai, Zeineb   +3 more
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Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator

Journal of Elliptic and Parabolic Equations
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Zakaria El Allali, Mohamed Karim Hamdani, Said Taarabti   +2 more
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Sequences of weak solutions for a Navier problem driven by the \(p(x)\)-biharmonic operator [PDF]

, 2019
Summary: We derive the existence of infinitely many solutions for an elliptic problem involving both the \(p(x)\)-biharmonic and the \(p(x)\)-Laplacian operators under Navier boundary conditions. Our approach is of variational nature and does not require any symmetry of the nonlinearities. Instead, a crucial role is played by suitable test functions in
Cammaroto F., Vilasi L.
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Existence and Multiplicity of Solutions for Choquard Type Problem Involving p(x)-Biharmonic Operator

Bulletin of the Iranian Mathematical Society
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Jing Zhang, Quan Hai
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Stability for an Inverse Source Problem of the Biharmonic Operator

SIAM Journal on Applied Mathematics, 2021
Peijun Li
exaly