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 00-CNA-18
A note on Meyers' Theorem in Wk,1 Irene Fonseca
Roberto Paroni
ABSTRACT:
Lower semicontinuity properties of multiple-integrals are studied when f grows at most linearly with respect to the highest order derivative, and admissible sequences converge strongly in It is shown that under certain continuity assumptions on f, convexity, 1 -quasiconvexity or k-polyconvexity of ensure lower semicontinuity. The case where is k-quasiconvex remains open except in some very particular cases, such as when Get the paper in its entirety as |