Abstract
In [8] it was proved that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of R^N of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.
Lingua originale | Inglese |
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pagine (da-a) | 207-221 |
Numero di pagine | 15 |
Rivista | RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA |
DOI | |
Stato di pubblicazione | Pubblicato - 2016 |
Keywords
- Algebra and Number Theory
- Analysis
- Dirichlet Laplacian
- Eigenvalues
- Geometry and Topology
- Mathematical Physics
- Shape optimization
- Spectral problems