Irene Fonseca, Department of Mathematical Sciences, Carnegie Mellon University.
"Det vs det"
Sharp results for weak convergence of the determinant jacobian are given using a new isoperimetric inequality. It is shown that if , in , where is a bounded, open subset of , and if converges weakly-* in the sense of measures to a Radon measure , then a.e. in .
This is joint work with Giovanni Leoni and Jan Malý.
TUESDAY, October 1, 2002