Eigenvalues for the clamped plate problem of $\mathfrak{L}_\nu^2$ operator on complete Riemannian manifolds

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

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Rigidity of self-shrinkers and translating solitons of mean curvature flows
Generic mean curvature flow. I: Generic singularities
Bounds for ratios of the membrane eigenvalues
Translating solitons of the mean curvature flow
Inequalities for eigenvalues of the biharmonic operator
Universal bounds for eigenvalues of the biharmonic operator
Bounds on eigenvalues of Dirichlet Laplacian
Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
Stability of translating solutions to mean curvature flow
Asymptotic behavior for singularities of the mean curvature flow
Extrinsic estimates for eigenvalues of the Laplace operator
Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds
Estimates for lower order eigenvalues of a clamped plate problem
Bounds for the third membrane eigenvalue
A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
A second proof of the Payne-Pólya-Weinberger conjecture
On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
Estimates on eigenvalues of Laplacian
Asymptotic shape of cusp singularities in curve shortening
Commutators, spectral trace identities, and universal estimates for eigenvalues
Singularities of mean curvature flow
Bounds for the ratios of the first three membrane eigenvalues
Lower order eigenvalues of Dirichlet Laplacian
Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces
EIGENVALUES OF THE LAPLACIAN ON RIEMANNIAN MANIFOLDS
On the Ratio of Consecutive Eigenvalues
Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
Yang-type inequalities for weighted eigenvalues of a second order uniformly elliptic operator with a nonnegative potential
More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions
ESTIMATES FOR EIGENVALUES OF $\mathfrak L$ OPERATOR ON SELF-SHRINKERS
Inequalities for eigenvalues of a clamped plate problem
Inequalities for eigenvalues of a clamped plate problem

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Eigenvalues for the clamped plate problem of \(\mathfrak{L}_\nu^2\) operator on complete Riemannian manifolds