Results 111 to 120 of about 58,029 (131)
On the principal frequency curve of the p-biharmonic operator
Arab Journal of Mathematical Sciences, 2011 A variational method on C1 variety is adapted to show the existence of an increasing sequence of positive eigencurves of the p-biharmonic operator without any assumption on the regularity of the domain.
Abdelouahed El Khalil
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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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A note on the Neumann eigenvalues of the biharmonic operator
Mathematical Methods in the Applied Sciences, 2018 We study the dependence of the eigenvalues of the biharmonic operator subject to Neumann boundary conditions on the Poisson's ratio $sigma$. In particular, we prove that the Neumann eigenvalues are Lipschitz continuous with respect to $sigmain[0,1[$ and ...
Luigi Provenzano
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On Caffarelli–Kohn–Nirenberg-type Inequalities for the Weighted Biharmonic Operator in Cones
Milan Journal of Mathematics, 2011 We investigate Caffarelli-Kohn-Nirenberg type inequalities for the weighted biharmonic operator in cones, both under Navier and Dirichlet boundary conditions. Moreover, we study existence and qualitative properties of extremal functions. In particular,
Paolo Caldiroli +2 more
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On a class of boundary value problems involving the p-biharmonic operator
Journal of Mathematical Analysis and Applications, 2010 A nonlinear boundary value problem involving the p-biharmonic operator is investigated, where p>1. It describes various problems in the theory of elasticity, e.g., the shape of an elastic beam where the bending moment depends on the curvature as a power ...
Tihomir B Gyulov, Gheorghe Moroșanu
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Some of the next articles are maybe not open access.
Stability for an Inverse Source Problem of the Biharmonic Operator
SIAM Journal on Applied Mathematics, 2021Peijun Li
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A Spectral Sobolev Problem for the Biharmonic Operator
Lobachevskii Journal of Mathematics, 2023A Yu Savin, Savin A Yu
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A Stabilized Treatment of the Biharmonic Operator with Spectral Methods
SIAM Journal on Scientific and Statistical Computing, 1991Wilhelm Heinrichs
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Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
Journal of Functional Analysis, 2007Changyu Xia
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