a1 Dipartimento di Matematica, Università di Roma “La Sapienza”, Italy; firstname.lastname@example.org
The theory of compensated compactness of Murat and Tartar links the algebraic condition of rank-r convexity with the analytic condition of weak lower semicontinuity. The former is an algebraic condition and therefore it is, in principle, very easy to use. However, in applications of this theory, the need for an efficient classification of rank-r convex forms arises. In the present paper, we define the concept of extremal 2-forms and characterize them in the rotationally invariant jointly rank-r convex case.
(Received October 27 2004)
(Revised June 30 2005)
(Online publication February 14 2007)
Mathematics Subject Classification: