Results 1 to 10 of about 58,118 (188)

A generalized nonlinear Picone identity for the p-biharmonic operator and its applications [PDF]

Journal of Inequalities and Applications, 2019
A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville’s theorem to the p-biharmonic system, and a ...
Tingfu Feng
doaj   +4 more sources

Picone's identity for the p-biharmonic operator with applications

Electronic Journal of Differential Equations, 2011
In this article, a Picone-type identity for the weighted p-biharmonic operator is established and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.
Jaroslav Jaros
doaj   +4 more sources

On the principal frequency curve of the p-biharmonic operator

Arab Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelouahed El Khalil
exaly   +4 more sources

Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities

Journal of Function Spaces, 2023
This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities,  Δp2u=uγ−1u+μu−1−α/xβu in Ω and u=∂u/∂n=0 on ∂Ω, where ...
Mohammed El Mokhtar Ould El Mokhtar
doaj   +4 more sources

Global bifurcation result for the p-biharmonic operator

Electronic Journal of Differential Equations, 2001
We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with $p > 1$, and $Omega$ a bounded domain in $mathbb{R}^N$ with smooth boundary, has principal positive eigenvalue $lambda_1$ which is simple and isolated.
Pavel Drabek, Mitsuharu Otani
doaj   +4 more sources

Multiple Solutions for Nonlocal Elliptic Systems Involving p(x)-Biharmonic Operator

Mathematics, 2019
This paper analyzes the nonlocal elliptic system involving the p(x)-biharmonic operator. We give the corresponding variational structure of the problem, and then by means of Ricceri’s Variational theorem and the definition of general Lebesgue ...
Qing Miao
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On a class of boundary value problems involving the p-biharmonic operator

Journal of Mathematical Analysis and Applications, 2010
The authors study the existence of solutions to the following problem: \[ (|u''|^{p-2}u'')'' - (a(t)|u'|^{p-2}u')' + b(t)|u|^{p-2}u \in \overline{\partial}F(t,u), \] \[ \left(\begin{aligned} & -(|u''|^{p-2}u'')'(0) + a(0)|u'(0)|^{p-2}u'(0)\\ & (|u''|^{p-2}u'')'(1) - a(1)|u'(1)|^{p-2}u'(1)\\ & |u''(0)|^{p-2}u''(0)\\ & -|u''(1)|^{p-2}u''(1)\end{aligned} \
Tihomir B Gyulov, Gheorghe Moroșanu
exaly   +3 more sources

Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator

Cubo, 2022
In this paper we establish some results of existence of infinitely many solutions for an elliptic equation involving the p-biharmonic and the p-Laplacian operators coupled with Navier boundary conditions where the nonlinearities depend on two real ...
Filippo Cammaroto
doaj   +3 more sources

Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term [PDF]

Moroccan Journal of Pure and Applied Analysis, 2020
This paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ.
Laghzal Mohamed, Khalil Abdelouahed El, Alaoui My Driss Morchid, Touzani Abdelfattah   +3 more
doaj   +2 more sources

On the spectrum of the p-biharmonic operator

Electronic Journal of Differential Equations, 2002
This work is devoted to the study of the spectrum for p-biharmonic operator with an indefinite weight in a bounded domain.
Abdelouahed El Khalil, Siham Kellati, Abdelfattah Touzani   +2 more
doaj   +2 more sources