We prove a lower semicontinuity theorem for a polyconvex functional of integral form, related to vector-valued maps u in W^(1,n), with n >= m >= 2, with respect to the weak W(1,p)-convergence for p > m - 1, without assuming any coercivity condition.
Weak lower semicontinuity for non coercive polyconvex integrals / M. AMAR; V. DE CICCO; P. MARCELLINI; E. MASCOLO. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - STAMPA. - 1:(2008), pp. 171-191.
Weak lower semicontinuity for non coercive polyconvex integrals
MARCELLINI, PAOLO;MASCOLO, ELVIRA
2008
Abstract
We prove a lower semicontinuity theorem for a polyconvex functional of integral form, related to vector-valued maps u in W^(1,n), with n >= m >= 2, with respect to the weak W(1,p)-convergence for p > m - 1, without assuming any coercivity condition.
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