Zusammenfassung für den Vortrag am 19.05.1998 (16:45 Uhr)

Irene Fonseca (CMU + MPI MIS, Leipzig)

Weak convergence of minors

Using calculus of variations techniques, it is shown that if converge to a function u in , where is an open, bounded subset of , if the sequence of all minors is equi-bounded in , and if converge to a function f weakly in , then

This result was previously obtained by Giaquinta, Modica and Soucek using tools from Geometric Measure Theory, and it is sharp. In particular, for all , , for all , and for every

This work in collaboration with Jan Malý was initiated during his visit to the Max Planck Institute in March-April 1998.