Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds
From MaRDI portal
Publication:624591
DOI10.1016/j.jmaa.2010.11.002zbMath1209.53027arXiv0906.2043OpenAlexW2082278347WikidataQ115346172 ScholiaQ115346172MaRDI QIDQ624591
Publication date: 9 February 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.2043
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (7)
The geometric invariants for the spectrum of the Stokes operator ⋮ A spectral inequality for degenerate operators and applications ⋮ Generalization of Philippin's results for the first Robin eigenvalue and estimates for eigenvalues of the bi-drifting Laplacian ⋮ The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds ⋮ Semiclassical bounds for spectra of biharmonic operators ⋮ One can hear the area of a torus by hearing the eigenvalues of the polyharmonic operators ⋮ On the spectral asymptotics for the buckling problem
Cites Work
- Spectral theory for perturbed Krein Laplacians in nonsmooth domains
- Rellich type identities for eigenvalue problems and application to the Pompeiu problem
- Inequalities between Dirichlet and Neumann eigenvalues
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- Some inequalities between Dirichlet and Neumann eigenvalues
- Methods of intermediate problems for eigenvalues. Theory and ramifications
- A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
- Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian
- Paneitz-type operators and applications
- Inequalities between Dirichlet and Neumann eigenvalues for domains in spheres.
- Partial differential equations. 1: Basic theory
- Curvature and the eigenvalues of the Laplacian
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Symmetry Theorems Related to Pompeiu's Problem
- On the Eigenvalues of Vibrating Membranes†
- An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
- Meillieurs estimations asymptotiques des restes de la fonctionn spectrale et des valeurs propres relatifs au laplacien.
- Aspects of global Riemannian geometry
- On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
- Tauberian Theory
- Isoperimetric Inequalities and Their Applications
- On the eigenvalues and eigenfunctions of elastic plates
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Riemannian geometry and geometric analysis
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds