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arxiv: 1504.07465 · v1 · pith:T766CGEQnew · submitted 2015-04-28 · 🧮 math.DG

Maximization of higher order eigenvalues and applications

classification 🧮 math.DG
keywords citeeigenvalueshighermaximizationorderappearapplicationsboundaryless
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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.

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