Spectre du laplacien et écrasement d'anses
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Publication:3772959
DOI10.24033/asens.1533zbMath0634.58035OpenAlexW2520613701MaRDI QIDQ3772959
Publication date: 1987
Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_1987_4_20_2_271_0
Related Items (29)
Laplacians in interaction ⋮ Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II ⋮ Spectrum of hypersurfaces with small extrinsic radius or large \(\lambda_{1}\) in Euclidean spaces ⋮ On the Friedlander-Nadirashvili invariants of surfaces ⋮ Junctions of singularly degenerating domains with different limit dimensions ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ Construction de laplaciens dont une partie finie du spectre est donnée ⋮ Multiple tubular excisions and large Steklov eigenvalues ⋮ Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian ⋮ Some results on higher eigenvalue optimization ⋮ The spectrum of the Laplacian: A geometric approach ⋮ The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition ⋮ Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces ⋮ How opening a hole affects the sound of a flute ⋮ Sharp asymptotics of the first eigenvalue on some degenerating surfaces ⋮ Approximating orbifold spectra using collapsing connected sums ⋮ Spectrum of the Laplacian with weights ⋮ Sharp Steklov upper bound for submanifolds of revolution ⋮ Boundedness of the first eigenvalue of the 𝑝-Laplacian ⋮ On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle ⋮ Unnamed Item ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ Eigenvalue convergence on perturbed Lipschitz domains for elliptic systems with mixed general decompositions of the boundary ⋮ Singular variation of domain and eigenvalues of the Laplacian with the third boundary condition ⋮ Existence of metrics maximizing the first eigenvalue on non-orientable surfaces ⋮ The first eigenvalues of finite Riemannian covers ⋮ Collapsing of connected sums and the eigenvalues of the Laplacian ⋮ Periodic manifolds with spectral gaps
Cites Work
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- Isoperimetric constants of manifolds with small handles
- Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
- Lower bounds for \(\lambda _ 1\) on a finite-volume hyperbolic manifold
- A Kato type inequality for Riemannian submersions with totally geodesic fibers
- Laplacians and Riemannian submersions with totally geodesic fibres
- Potential and scattering theory on wildly perturbed domains
- Spectra of domains in compact manifolds
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
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