Abstract:
The present paper is a follow up of our paper “Conformal spectrum and harmonic maps”. 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 the above-mentioned paper, bubbling phenomena appear.
Key words and phrases:eigenvalues, isoperimetric inequalities.