In this paper, we study the first eigenvalue of the Laplacian on doubly connected domains when Robin and Dirichlet conditions are imposed on the outer and the inner part of the boundary, respectively. We provide that the spherical shell reaches the maximum of the first eigenvalue of this problem among a suitable class of domains when the measure, the outer perimeter and inner (n-1)th quermassintegral are fixed.
A Sharp Bound for the First Robin–Dirichlet Eigenvalue / Gavitone, Nunzia; Piscitelli, Gianpaolo. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - 203:1(2024), pp. 745-766. [10.1007/s10957-024-02531-1]
A Sharp Bound for the First Robin–Dirichlet Eigenvalue
Gavitone, Nunzia
;Piscitelli, Gianpaolo
2024
Abstract
In this paper, we study the first eigenvalue of the Laplacian on doubly connected domains when Robin and Dirichlet conditions are imposed on the outer and the inner part of the boundary, respectively. We provide that the spherical shell reaches the maximum of the first eigenvalue of this problem among a suitable class of domains when the measure, the outer perimeter and inner (n-1)th quermassintegral are fixed.| File | Dimensione | Formato | |
|---|---|---|---|
|
33 2024- JOTA.pdf
solo utenti autorizzati
Licenza:
Non specificato
Dimensione
531.17 kB
Formato
Adobe PDF
|
531.17 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
