Fundamental tone estimates for elliptic operators in divergence form and geometric applications
From MaRDI portal
Publication:5490640
DOI10.1590/S0001-37652006000300001zbMath1128.53033arXivmath/0403436WikidataQ80176839 ScholiaQ80176839MaRDI QIDQ5490640
Barnabé Pessoa Lima, Luquesio P. de M. Jorge, Gregório Pacelli Bessa, José Fábio Bezerra Montenegro
Publication date: 4 October 2006
Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403436
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (5)
On cylindrically bounded \(H\)-hypersurfaces of \(\mathbb H^n \times \mathbb R\) ⋮ On compact \(H\)-hypersurfaces of \(N \times \mathbb{R}\) ⋮ Higher order mean curvature estimates for properly immersed \(\phi _{h}\)-bounded hypersurfaces ⋮ Higher order mean curvature estimates for complete hypersurfaces into horoballs ⋮ Maximum principle for semi-elliptic trace operators and geometric applications
Cites Work
- Unnamed Item
- Unnamed Item
- Extrinsic upper bounds for \(\lambda _ 1\)
- Sphere theorems via Alexandrov for constant Weingarten curvature hypersurfaces. Appendix to a note of A. Ros
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- An inequality between the exterior diameter and the mean curvature of bounded immersions
- An inequality of ``Reilly-type for submanifolds of the hyperbolic space
- Extrinsic bounds on \(\lambda_1\) of \(\Delta\) on a compact manifold
- Hypersurfaces with constant scalar curvature
- On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
- On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface
- Stability of hypersurfaces with constant \(r\)-mean curvature
- A characterization for geodesic spheres in space forms
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Eigenvalue estimates for submanifolds with locally bounded mean curvature
- On the fundamental group of a compact minimal submanifolds
- An Estimate for the Curvature of Bounded Submanifolds
- On the first Laplacian eigenvalue and the center of gravity of compact hypersurfaces
This page was built for publication: Fundamental tone estimates for elliptic operators in divergence form and geometric applications
