科研之友
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摘要
We present a new extension of Serrin's lower semicontinuity theorem. We prove that the variational functional integral(Omega) f(x, u, u')dx defined on W-loc(1,1)(Omega) is lower semicontinuous with respect to the strong convergence in L-loc(1), under the assumptions that the integrand f(x, s, xi) has the locally absolute continuity about the variable x.
