An elementary proof of the polar factorization of vector-valued functions

Archive for Rational Mechanics and Analysis - Tập 128 Số 4 - Trang 381-399 - 1994
Wilfrid Gangbo1
1Mathematical Sciences Research Institute, Berkeley

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Từ khóa


Tài liệu tham khảo

Y. Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Comm. Pure Appl. Math. 46, 375?417 (1991).

Y. Brenier, D�composition polaire et r�arrangement monotone des champs de vecteurs, C. R. Acad. Sci. Paris 305, S�rie I, 805?808, (1987).

B. Dacorogna, Direct Methods in the Calculus of Variations, 1989, Springer-Verlag.

T. Rockafellar, Convex Analysis, 1970, Princeton University Press.