A multidimensional version of Liapunov-type theorems is proven. As an application, it is proven that, under proper hypothesis on the possibly nonconvex function f, the problem min integral(0)(T) f(u'(t)) dt on the subset of W-1,W-p([0,T],R(n)) Of those functions u satisfying the prescribed boundary conditions and whose trajectory lies out of a prescribed open subset of R(n) admits at least one solution.
A Nonconvex Variational Problem With Constraints
MARICONDA, CARLO
1995
Abstract
A multidimensional version of Liapunov-type theorems is proven. As an application, it is proven that, under proper hypothesis on the possibly nonconvex function f, the problem min integral(0)(T) f(u'(t)) dt on the subset of W-1,W-p([0,T],R(n)) Of those functions u satisfying the prescribed boundary conditions and whose trajectory lies out of a prescribed open subset of R(n) admits at least one solution.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
95nonconvexamar.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso libero
Dimensione
229.08 kB
Formato
Adobe PDF
|
229.08 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.