Inequalities for eigenvalues of the biharmonic operator
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Publication:794203
DOI10.2140/pjm.1984.112.115zbMath0541.35059OpenAlexW1982056353MaRDI QIDQ794203
Publication date: 1984
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1984.112.115
Related Items (42)
On the upper bound of second eigenvalues for uniformly elliptic operators of any orders. ⋮ The lower and upper bounds of the first eigenvalues for the bi-Laplace operator on Finsler manifolds ⋮ Estimates of eigenvalues for uniformly elliptic operator of second order ⋮ Spectral theory for perturbed Krein Laplacians in nonsmooth domains ⋮ Universal bounds for eigenvalues of the biharmonic operator ⋮ Inequalities for eigenvalues of the polyharmonic operator \(\Delta ^ p\) ⋮ Universal bounds for eigenvalues of a buckling problem ⋮ Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators ⋮ The upper bounds of arbitrary eigenvalues of uniformly elliptic operators with higher orders ⋮ Hile-yeh estimates of eigenvalues of polyharmonic operators ⋮ Universal inequality and upper bounds of eigenvalues for non-integer poly-Laplacian on a bounded domain ⋮ Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds ⋮ Universal inequalities for eigenvalues of the buckling problem on spherical domains ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian ⋮ The lower bounds of the first eigenvalues for the biharmonic operator on manifolds ⋮ Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian ⋮ Estimates for weighted eigenvalues of a fourth-order elliptic operator with variable coefficients ⋮ Universal bounds for eigenvalues of the polyharmonic operators ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ EIGENVALUE ESTIMATES FOR QUADRATIC POLYNOMIAL OPERATOR OF THE LAPLACIAN ⋮ Estimates for eigenvalues of Laplacian operator with any order ⋮ Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons ⋮ Inequalities for eigenvalues of the buckling problem of arbitrary order ⋮ Estimates of the first two buckling eigenvalues on spherical domains ⋮ Universal inequalities for the eigenvalues of a power of the Laplace operator ⋮ A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains ⋮ Estimates on eigenvalues of Laplacian ⋮ Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds ⋮ Calculation of eigenvalues for a class of crosswise vibration equation of the beam ⋮ Universal inequalities for eigenvalues of a clamped plate problem on a hyperbolic space ⋮ On the upper bounds of eigenvalues for a class of systems of ordinary differential equations with higher order ⋮ Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential ⋮ Inequalities for buckling of a clamped plate ⋮ Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds ⋮ Universal bounds for eigenvalues of a buckling problem II ⋮ EIGENVALUE ESTIMATES ON DOMAIN OF THE POLYDISK ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on cigar soliton ⋮ Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds ⋮ The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang ⋮ Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds ⋮ Estimates for eigenvalues of the bi-drifting Laplacian operator
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