Upper bounds are obtained for the p-capacity of compact sets in, with and. Upper and lower bounds are obtained for the product of p-capacity and powers of the q-torsional rigidity over the collection of all non-empty, open, bounded and convex sets in with either a perimeter constraint, or a measure constraint, or a combination of perimeter and measure constraints. For some range of parameters we identify the ball as the unique (up to homotheties) maximiser or minimiser respectively.
On functionals involving the p-capacity and the q-torsional rigidity / Van Den Berg, Michiel; Gavitone, Nunzia. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 64:8(2025). [10.1007/s00526-025-03081-8]
On functionals involving the p-capacity and the q-torsional rigidity
van den Berg, Michiel;Gavitone, Nunzia
2025
Abstract
Upper bounds are obtained for the p-capacity of compact sets in, with and. Upper and lower bounds are obtained for the product of p-capacity and powers of the q-torsional rigidity over the collection of all non-empty, open, bounded and convex sets in with either a perimeter constraint, or a measure constraint, or a combination of perimeter and measure constraints. For some range of parameters we identify the ball as the unique (up to homotheties) maximiser or minimiser respectively.| File | Dimensione | Formato | |
|---|---|---|---|
|
36 2025 - CALC VAR.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
3.59 MB
Formato
Adobe PDF
|
3.59 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
