Two balls maximize the third Neumann eigenvalue in hyperbolic space

• Autores: Pedro Freitas, Richard Snyder Laugesen
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 23, Nº 3, 2022, págs. 1325-1355
• Idioma: inglés
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• Resumen

  • We show that the third eigenvalue of the Neumann Laplacian in hy- perbolic space is maximal for the disjoint union of two geodesic balls, among domains of given volume. This extends a recent result by Bucur and Henrot in Euclidean space, while providing a new proof of a key step in their argument