Let Ω be a cone in R^n with n ≥ 2. For every fixed R we find the best constant in the Rellich inequality for u smooth and vanishing on ∂Ω. We also estimate the best constant for the same inequality for maps with compact support on Ω. Moreover we show improved Rellich inequalities with remainder terms involving logarithmic weights on cone-like domains.
Rellich inequalities with weights
CALDIROLI, Paolo;MUSINA, Roberta
2012-01-01
Abstract
Let Ω be a cone in R^n with n ≥ 2. For every fixed R we find the best constant in the Rellich inequality for u smooth and vanishing on ∂Ω. We also estimate the best constant for the same inequality for maps with compact support on Ω. Moreover we show improved Rellich inequalities with remainder terms involving logarithmic weights on cone-like domains.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2012_CalcVar.pdf
non disponibili
Tipologia:
Altro materiale allegato
Licenza:
Non pubblico
Dimensione
531.48 kB
Formato
Adobe PDF
|
531.48 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.
