Maximizing one Laplace eigenvalue on n-dimensional manifolds

Autor:	Petrides, Romain
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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 $n\geq 3$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.15636 View this record from Arxiv