We find a sufficient condition guaranteeing well-posedness in a strong sense of the minimization of a multiple integral on the Sobolev space W 1,1 (Ω Rm) with boundary datum equal to zero. We remark that this condition does not involve global convexity of the integrand and therefore it allows us to find well-posedness properties of two classes of nonconvex problems recently studied: functionals depending only on the gradient and radially symmetric functionals. ©2005 IEEE.
Well-posedness of nonconvex integral functionals
Villa, Silvia
2005-01-01
Abstract
We find a sufficient condition guaranteeing well-posedness in a strong sense of the minimization of a multiple integral on the Sobolev space W 1,1 (Ω Rm) with boundary datum equal to zero. We remark that this condition does not involve global convexity of the integrand and therefore it allows us to find well-posedness properties of two classes of nonconvex problems recently studied: functionals depending only on the gradient and radially symmetric functionals. ©2005 IEEE.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.