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- W91428801 abstract "The relation between quasi-convexity and k -quasi-convexity, k ≥ 2, is investigated. It is shown that every smooth strictly k -quasi-convex integrand with p -growth at infinity, p > 1, is the restriction to k th-order symmetric tensors of a quasi-convex function with the same growth. When the smoothness condition is dropped, it is possible to prove an approximation result. As a consequence, lower semicontinuity results for k th-order variational problems are deduced as corollaries of well-known first-order theorems. This generalizes a previous work by Dal Maso et al. , in which the case where k = 2 was treated." @default.
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- W91428801 date "2011-07-15" @default.
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- W91428801 title "<i>k</i>-quasi-convexity reduces to quasi-convexity" @default.
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