%0 Journal Article %T Maximization of higher order eigenvalues and applications %+ Institut de Mathématiques de Marseille (I2M) %A Nadirashvili, Nikolai %A Sire, Yannick %Z To M. Tsfasman and S. Vladut. %< avec comité de lecture %@ 1609-3321 %J Moscow Mathematical Journal %I Independent University of Moscow %V 15 %N 4 %P 767--775 %8 2015 %D 2015 %Z 1504.07465 %K Eigenvalues %K isoperimetric inequalities %Z 35P15 %Z Mathematics [math]/Differential Geometry [math.DG]Journal articles %X The present paper is a follow up of our paper \cite{nS}. 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 \cite{nS}, bubbling phenomena appear. %G English %L hal-01338009 %U https://hal.science/hal-01338009 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-