Isoperimetric bounds for lower-order eigenvalues
DOI10.2140/pjm.2022.317.297zbMath1494.35127arXiv2110.01869OpenAlexW3202959181MaRDI QIDQ2158174
Publication date: 26 July 2022
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.01869
isoperimetric inequalitiesWentzell-Laplace operatorbiharmonic Steklov problemsLaplacian on closed hypersurfaces
Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An extremal eigenvalue problem for the Wentzell-Laplace operator
- Spectral optimization for the Stekloff-Laplacian: The stability issue
- Isoperimetric control of the Steklov spectrum
- Sharp bounds for the first non-zero Stekloff eigenvalues
- Isoperimetric bounds for the first eigenvalue of the Laplacian
- Spectral geometry: direct and inverse problems. With an appendix by G. Besson
- Extrinsic upper bounds for \(\lambda _ 1\)
- An inequality of ``Reilly-type for submanifolds of the hyperbolic space
- Some inequalities for Stekloff eigenvalues
- Extrinsic bounds on \(\lambda_1\) of \(\Delta\) on a compact manifold
- On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
- The geometry of the first non-zero Stekloff eigenvalue
- On the stability of some isoperimetric inequalities for the fundamental tones of free plates
- Eigenvalues of the Wentzell-Laplace operator and of the fourth order Steklov problems
- Comparison of Steklov eigenvalues on a domain and Laplacian eigenvalues on its boundary in Riemannian manifolds
- Upper bounds for the first eigenvalue of the Laplacian on compact submanifolds.
- Inequalities for the Steklov eigenvalues
- Some results on higher eigenvalue optimization
- A few shape optimization results for a biharmonic Steklov problem
- Inequalities for membrane and Stekloff eigenvalues
- Some isoperimetric inequalities with application to the Stekloff problem
- Mathematical Models for Elastic Structures
- Rigidity of compact manifolds with boundary and nonnegative Ricci curvature
This page was built for publication: Isoperimetric bounds for lower-order eigenvalues
