Publication Date:
2016-01-07
Description:
A necessary and sufficient condition for the W 1, p -quasi-convexity of integrands to imply the lower semicontinuity of the corresponding integral functionals with respect to the weak convergence of sequences in W 1, p is obtained. It is shown that the absence of the Lavrent’ev phenomenon in minimization problems with linear boundary data is sufficient, under a minor technical assumption, for the lower semicontinuity of integral functionals with quasi-convex integrands.
Print ISSN:
1064-5624
Electronic ISSN:
1531-8362
Topics:
Mathematics