Maximizing one Laplace eigenvalue on n-dimensional manifolds
Analysis of PDEs
2022-11-29 v1 Differential Geometry
Functional Analysis
Abstract
We prove existence and regularity results for the problem of maximization of one Laplace eigenvalue with respect to metrics of same volume lying in a conformal class of a Riemannian manifold of dimension .
Cite
@article{arxiv.2211.15636,
title = {Maximizing one Laplace eigenvalue on n-dimensional manifolds},
author = {Romain Petrides},
journal= {arXiv preprint arXiv:2211.15636},
year = {2022}
}