Results 21 to 30 of about 58,118 (188)
On a Class of PDE Involving
ISRN Mathematical Analysis, 2011 The existence of solution for a fourth-order nonlinear partial differential equation (PDE) class involving p-biharmonic operator Δ(|Δu|p−2Δu)=λρ(x)|u|q−2u in Ω, u=Δu=0, on ∂Ω, is proved by applying mountain pass theorem and a local minimization.
Abdelouahed El Khalil
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Singular p-biharmonic problem with the Hardy potential
Nonlinear AnalysisThe aim of this paper is to study existence results for a singular problem involving the p-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is ...
Amor Drissi +2 more
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Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators [PDF]
Opuscula Mathematica, 2016 We study the multiplicity of weak solutions to the following fourth order nonlinear elliptic problem with a \(p(x)\)-biharmonic operator \[\begin{cases}\Delta^2_{p(x)}u+a(x)|u|^{p(x)-2}u=\lambda f(x,u)\quad\text{ in }\Omega,\\ u=\Delta u=0\quad\text{ on }
Lingju Kong
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Extremal Eigenvalues Of The Dirichlet Biharmonic Operator On Rectangles [PDF]
, 2020 We study the behaviour of extremal eigenvalues of the Dirichlet biharmonic operator over rectangles with a given fixed area. We begin by proving that the principal eigenvalue is minimal for a rectangle for which the ratio between the longest and the ...
Freitas, P. +3 more
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An overdetermined problem of the biharmonic operator on Riemannian manifolds
Boundary Value Problems, 2023 Let ( M , g ) $(M,g)$ be an n-dimensional complete Riemannian manifold with nonnegative Ricci curvature. In this paper, we consider an overdetermined problem of the biharmonic operator on a bounded smooth domain Ω in M.
Fan Chen, Qin Huang, Qihua Ruan
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Spectral Analysis of the Biharmonic Operator Subject to Neumann Boundary Conditions on Dumbbell Domains [PDF]
, 2017 We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thin channel.
Arrieta, José M. +12 more
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On relaxation of state-constrained optimal control problem in coefficients for biharmonic equation
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2015 We study a Dirichlet optimal control problem for biharmonic equation withcontrol and state constraints. The coecient of the biharmonic operator, the weightu, we take as a control in L1(Ω).
P. I. Kogut, L. V. Voloshko
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Advances in Nonlinear Analysis, 2018 In the present paper, we investigate the existence of solutions for the following inhomogeneous singular equation involving the p(x){p(x)}-biharmonic operator:
Kefi Khaled, Saoudi Kamel
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On eigenvalues of p-biharmonic operator and associated concave-convex type equation
Gulf Journal of Mathematics, 2022 In this article, we are interested in the simplicity and the existence of the first eigensurface for the third order spectrum of p-biharmonic operator plus potential with weights and the existence of multiple solutions for associated concave-convex type equation under Navier boundary conditions.
Jonas Tele Doumate +2 more
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TWO-DIMENSIONAL INVERSE SCATTERING FOR QUASI-LINEAR BIHARMONIC OPERATOR [PDF]
, 2021 The subject of this work concerns the classical direct and inverse scattering problems for quasi-linear perturbations of the two-dimensional biharmonic operator.
Serov, V. (Valery) +7 more
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