(PS)-weak lower semicontinuity in one dimension: A necessary and sufficient condition
β Scribed by Daniel Vasiliu; Baisheng Yan
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 182 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We provide some new necessary and sufficient conditions for regular isotropic rank-one convex functions on M + = {2 x 2 matrices such that det M >~ 0}. It is well known that isotmpic functions W(M) can be written as W(M) = G(AI, ),2) where Ai are the singular values of M. One of these conditions al
## Abstract Let 1 < __s__ < 2, __Ξ»~k~__ > 0 with __Ξ»~k~__ β β satisfy __Ξ»__~__k__+1~/__Ξ»~k~__ β₯ __Ξ»__ > 1. For a class of Besicovich functions __B__(__t__) = $ \sum ^{\infty} \_{k=1} \, \lambda ^{s-2} \_{k} $ sin __Ξ»~k~t__, the present paper investigates the intrinsic relationship between box dimen