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    Springer
    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
    Published by Springer
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