Symmetry and rigidity results for composite membranes and plates
DOI:
https://doi.org/10.6092/issn.2240-2829/10587Parole chiave:
Faber-Krahn inequality, Navier boundary conditions, moving plane methodAbstract
Il problema della membrana composita è un problema di ottimizzazione di autovalori i cui primi contributi risalgono agli inizi degli anni '00. In questa nota presentiamo una sintesi dei principali risultati ottenuti negli ultimi venti anni, fino al recente contributo [14] scritto in collaborazione con Giovanni Cupini.
Introdurremo poi un problema di ottimizzazione di autovalori per un operatore del quart'ordine noto come problema della piastra composita, e presenteremo alcuni risultati di simmetria e rigidità in questo ambito. Questi ultimi risultati sono contenuti nei lavori [12,13] scritti in collaborazione con Francesca Colasuonno.
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