We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the complement. By the study of an Almgren-type frequency function, we derive upper and lower bounds of the eigenvalue variation and sharp estimates in the case of a strictly star-shaped Neumann region.
Felli, V., Noris, B., Ognibene, R. (2022). Eigenvalues of the Laplacian with moving mixed boundary conditions: The case of disappearing Neumann region. JOURNAL OF DIFFERENTIAL EQUATIONS, 320(25 May 2022), 247-315 [10.1016/j.jde.2022.02.052].
Eigenvalues of the Laplacian with moving mixed boundary conditions: The case of disappearing Neumann region
Felli, Veronica
;
2022
Abstract
We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the complement. By the study of an Almgren-type frequency function, we derive upper and lower bounds of the eigenvalue variation and sharp estimates in the case of a strictly star-shaped Neumann region.
| File | Dimensione | Formato | |
|---|---|---|---|
|
FNO2-postprint.pdf
Solo gestori archivio
Tipologia di allegato:
Author’s Accepted Manuscript, AAM (Post-print)
Dimensione
552.08 kB
Formato
Adobe PDF
|
552.08 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.
