Let (Formula presented.) be a bounded domain in (Formula presented.) with smooth boundary (Formula presented.), and let (Formula presented.) be the set of points in (Formula presented.) whose distance from the boundary is smaller than (Formula presented.). We prove that the eigenvalues of the biharmonic operator on (Formula presented.) with Neumann boundary conditions converge to the eigenvalues of a limiting problem in the form of a system of differential equations on (Formula presented.).
On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set / Ferraresso, F.; Provenzano, L.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - (2023). [10.1112/blms.12781]
On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set
Ferraresso F.;Provenzano L.
2023
Abstract
Let (Formula presented.) be a bounded domain in (Formula presented.) with smooth boundary (Formula presented.), and let (Formula presented.) be the set of points in (Formula presented.) whose distance from the boundary is smaller than (Formula presented.). We prove that the eigenvalues of the biharmonic operator on (Formula presented.) with Neumann boundary conditions converge to the eigenvalues of a limiting problem in the form of a system of differential equations on (Formula presented.).| File | Dimensione | Formato | |
|---|---|---|---|
|
Ferraresso_eigenvalues_2023.pdf
accesso aperto
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
690.94 kB
Formato
Adobe PDF
|
690.94 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
