A homogenization theorem is established for the problem of minimization of an integral functional of the Calculus of Variation whose integrand f (y; z) takes values in [0;+infinity] : The unboundedness of the integrand can be interpreted as a rapidly oscillating constraint on the gradient of the admissible functions. The main assumptions on f (y; z) will be convexity and uniform p coerciveness, 1 < p < +infinity; in the z variable. Convergence results are proved for the Dirichlet and for the Neumann problem in both the scalar and the vectorial case.
Homogenization of Dirichlet and Neumann problems with gradient constraints / Cardone, G; A., CORBO ESPOSITO; G., Paderni. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - 16:2(2006), pp. 447-465.
Homogenization of Dirichlet and Neumann problems with gradient constraints
CARDONE G
;
2006
Abstract
A homogenization theorem is established for the problem of minimization of an integral functional of the Calculus of Variation whose integrand f (y; z) takes values in [0;+infinity] : The unboundedness of the integrand can be interpreted as a rapidly oscillating constraint on the gradient of the admissible functions. The main assumptions on f (y; z) will be convexity and uniform p coerciveness, 1 < p < +infinity; in the z variable. Convergence results are proved for the Dirichlet and for the Neumann problem in both the scalar and the vectorial case.| File | Dimensione | Formato | |
|---|---|---|---|
|
CardoneCorboEspositoPaderniJournal.PDF
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
616.22 kB
Formato
Adobe PDF
|
616.22 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.
