Maximization of higher order eigenvalues and applications

2015/04/28 by N. Nadirashvili, Nadirashvili, N., Y. Sire +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1504.07465

arxiv created 2015/04/28 · arxiv updated 2015/04/29

Abstract

The present paper is a follow up of our paper \citenS. We investigate here the maximization of higher order eigenvalues in a conformal class on a smooth compact boundaryless Riemannian surface. Contrary to the case of the first nontrivial eigenvalue as shown in \citenS, bubbling phenomena appear.

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