15 citations
3 papers
math.OC2008
The problem of the body of revolution of minimal resistance
Alexander Plakhov, Alena Aleksenko
Newton's problem of the body of minimal aerodynamic resistance is traditionally stated in the class of {\it convex} axially symmetric bodies with fixed length and width. We state a…
math.SP2008★ 15 cited
M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
B. M. Brown, G. Grubb, I. G. Wood
In this paper, we combine results on extensions of operators with recent results on the relation between the M-function and the spectrum, to examine the spectral behaviour of bound…
math.FA2007★ 2 cited
Non-existence of polar factorisations and polar inclusion of a vector-valued mapping
R. J. Douglas
This paper proves some results concerning the polar factorisation of an integrable vector-valued function u into the composition of the gradient of a convex function with a measure…