Lower semicontinuity of multiple integrals and convergent integrands
Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes
Lower semicontinuity of multiple integrals ∫ and ∫ are studied. It is proved that the two can derive from each other under certain general hypotheses such as uniform lower compactness property and locally uniform convergence of . The result is applied to obtain some general lower semicontinuity theorems on multiple integrals with quasiconvex integrand ƒ, while are not required to be quasiconvex.
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