It is known that for any nonnegative function u compactly supported in R^n ∫(H(Du))^2 dx≥∫(H(Du^*))^2 dx where H is a nonnegative convex function, positively homogeneous of degree 1 and u^* is the "convex" rearrangement of u with respect to H. We deal with the problem of characterizing those functions u for which equality holds.
Convex rearrangement: equality cases in the Pòlya-Szegö inequality / Volpicelli, Roberta; A., Ferone. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 21:3(2004), pp. 259-272. [10.1007/s00526-003-0256-3]
Convex rearrangement: equality cases in the Pòlya-Szegö inequality
VOLPICELLI, ROBERTA;
2004
Abstract
It is known that for any nonnegative function u compactly supported in R^n ∫(H(Du))^2 dx≥∫(H(Du^*))^2 dx where H is a nonnegative convex function, positively homogeneous of degree 1 and u^* is the "convex" rearrangement of u with respect to H. We deal with the problem of characterizing those functions u for which equality holds.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
I Lavoro.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso privato/ristretto
Dimensione
158.74 kB
Formato
Adobe PDF
|
158.74 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.
