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Journal of Convex Analysis 10 (2003), No. 2, 491--500
Copyright Heldermann Verlag 2003

Newton's Problem of Minimal Resistance in the Class of Bodies with Prescribed Volume

Marino Belloni
Dip. di Matematica, UniversitÓ di Parma, Via D'Azeglio 85, Parma, Italy, belloni@prmat.math.unipr.it

Alfred Wagner
Institut f. Mathematik, RWTH Aachen, Templergraben 55, 52062 Aachen, Germany, wagner@instmath.rwth-aachen.de

The existence of a body of minimal resistance with prescribed volume is proved in the class of profiles which satisfy a two sided bound on the mean curvature.

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