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Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). (French) Zbl 0652.26017
Under certain hypotheses the author demonstrates that a given vector field $$\phi$$ defined on a compact set K of $$R^ d$$ can be factorized in the form $$\phi =\nabla u\circ g,$$ where u is a convex function defined on K and g is a volume preserving mapping from K into itself.
Reviewer: S.K.Chatterjea

##### MSC:
 26B99 Functions of several variables
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