On the Existence of Metrics Which Maximize Laplace Eigenvalues on Surfaces
From MaRDI portal
Publication:4619410
DOI10.1093/imrn/rnx004zbMath1410.58015OpenAlexW2593337277MaRDI QIDQ4619410
Publication date: 6 February 2019
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnx004
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (18)
Two balls maximize the third Neumann eigenvalue in hyperbolic space ⋮ On a new functional for extremal metrics of the conformal Laplacian in high dimensions ⋮ On the Friedlander-Nadirashvili invariants of surfaces ⋮ Degenerating sequences of conformal classes and the conformal Steklov spectrum ⋮ Maximization of the second Laplacian eigenvalue on the sphere ⋮ Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids ⋮ First eigenvalue of the Laplacian on compact surfaces for large genera ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Existence of harmonic maps and eigenvalue optimization in higher dimensions ⋮ Index of minimal spheres and isoperimetric eigenvalue inequalities ⋮ On the Yang-Yau inequality for the first Laplace eigenvalue ⋮ Extremal eigenvalues of the conformal Laplacian under Sire-Xu normalization ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ Variational properties of the second eigenvalue of the conformal Laplacian ⋮ Existence of metrics maximizing the first eigenvalue on non-orientable surfaces ⋮ Extremal metrics for the Paneitz operator on closed four-manifolds ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level ⋮ Laplace and Steklov extremal metrics via \(n\)-harmonic maps
This page was built for publication: On the Existence of Metrics Which Maximize Laplace Eigenvalues on Surfaces