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A remark on the direct method of the calculus of variations
This note deals with the problem of minimizing a real-valued function <italic>f</italic> on a weakly closed subset of a reflexive Banach space. We use a mild monotonicity assumption introduced by P. Hess [11] on the derivative <italic>f’</italic> of <italic>f</italic> to get the weak lower semicontinuity of <italic>f</italic>. We show that …