Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
Publication 02-CNA-18
-quasiconvexity: weak star convergence
and the gap Irene Fonseca Giovannni Leoni Stefan Müller Abstract Lower semicontinuity results with respect to weak-* convergence in the sense of measures and with respect to weak convergence in are obtained for f unctionals where admissible sequences satisfy a first order system of PDEs . We suppose that has constant rank, is -quasiconvex and satisfies the nonstandard growth conditions with
for
for . In particular, our results generalize earlier work
where reduced to for some
. Get the paper in its entirety as |