Results 51 to 60 of about 58,029 (131)
Picone's identity for the p-biharmonic operator with applications
, 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 ...
Jaroslav Jaros
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Global Bifurcation Result for the p-biharmonic Operator
, 2001 We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with p > 1, and Ω a bounded domain in ℝN with smooth boundary, has principal positive eigenvalue which is simple and isolated.
Otani, Mitsuharu, Drabek, Pavel
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THE LOWER BOUNDS FOR THE FIRST EIGENVALUE OF THE BIHARMONIC AND p-BIHARMONIC OPERATORS ON FINSLER MANIFOLDS [PDF]
In this paper, we are going to estimate the lower bounds for the first eigenvalues of the buckling problem and clamped plate problem by considering a positive lower bound for the weighted Ricci curvature.
Azami, Shahroud, Hajiaghasi, Sakineh
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Analyticity and criticality results for the eigenvalues of the biharmonic operator
, 2016 We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary conditions (Dirichlet, Neumann, Navier, Steklov). We show that simple eigenvalues and elementary symmetric functions of multiple eigenvalues are real analytic,
Buoso, Davide, Davide Buoso
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Scattering problems for perturbations of the multidimensional biharmonic operator [PDF]
, 2018 Some scattering problems for the multidimensional biharmonic operator are studied. The operator is perturbed by first and zero order perturbations, which maybe complex-valued and singular. We show that the solutions to direct scattering problem satisfy a
Serov, Valery, Tyni, Teemu
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, 2018 We study a Dirichlet-Navier optimal design problem for a quasi-linear mono-tone p-biharmonic equation with control and state constraints. The coecient of the p-biharmonic operator we take as a design variable in BV ( )\L1( ).
Kogut, Peter I.; Oles Honchar Dnipro National University +1 more
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Existence of multiple solutions for a p(x)- biharmonic equation
, 2015 The aim of this paper is to obtain at least three solutions for a Neumann problem involving the p(x)-biharmonic operator.
Wang, Xiaonan +3 more
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On a Class of PDE Involving
, 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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, 2018 This paper presents an alternative methodology for finding the solution of the boundary value problem (BVP) for the linear partial differential operator.
Chalermpon Bunpog
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Domain Perturbations of the Biharmonic Operator
, 1965 Eigenvalue problems for the biharmonic operator (iterated Laplacian)L= ΔΔ will be studied on bounded plane domains. Our purpose is to obtain asymptotic variational formulae for eigenvalues and eigenfunctions under the deformation of removing an ∊-disk ...
C. A. Swanson
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