A countable set of directions is sufficient for Steiner symmetrization
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[1] Philip D. Plowright,et al. Convexity , 2019, Optimization for Chemical and Biochemical Engineering.
[2] N. Fusco,et al. Steiner symmetric extremals in Pólya–Szegö-type inequalities , 2006 .
[3] Jean Van Schaftingen. Universal approximation of symmetrizations by polarizations , 2005, Proceedings of the American Mathematical Society.
[4] A. Burchard. Steiner Symmetrization is Continuous in W1,p , 1997 .
[5] R. Schneider. Convex Bodies: The Brunn–Minkowski Theory: Minkowski addition , 1993 .
[6] Franz E Schuster,et al. General $L_p$ affine isoperimetric inequalities , 2008, 0809.1983.
[7] An isoperimetric inequality for convex polygons and convex sets with the same symmetrals , 1986 .
[8] J. Steiner,et al. Einfache Beweise der isoperimetrischen Hauptsätze. , 1838 .
[9] A Result on the Steiner Symmetrization of a Compact Set , 1976 .
[10] T. Apostol. Introduction to analytic number theory , 1976 .
[11] E. T.. An Introduction to the Theory of Numbers , 1946, Nature.
[12] Jean Bourgain,et al. Estimates related to steiner symmetrizations , 1989 .
[13] J. Alonso,et al. Convex and Discrete Geometry , 2009 .
[14] Jean Van Schaftingen. Approximation of symmetrizations and symmetry of critical points , 2006 .
[15] Jörg M. Wills,et al. Handbook of Convex Geometry , 1993 .
[16] G. Bianchi,et al. Steiner symmetrals and their distance from a ball , 2003 .
[17] Erwin Lutwak,et al. Orlicz projection bodies , 2010 .
[18] V. Milman,et al. Rapid Steiner Symmetrization of Most of a Convex Body and the Slicing Problem , 2005, Combinatorics, Probability and Computing.
[19] P. R. Scott. Planar Rectangular Sets and Steiner Symmetrization , 1998 .
[20] V. V. Buldygin,et al. Brunn-Minkowski inequality , 2000 .
[21] V. Milman,et al. Isomorphic Steiner symmetrization , 2003 .
[22] The perimeter inequality under Steiner symmetrization: Cases of equality , 2005 .
[23] G. Talenti. The Standard Isoperimetric Theorem , 1993 .
[24] A. McNabb. Partial Steiner symmetrization and some conduction problems , 1967 .
[25] R. Gardner. Symmetrals and X-rays of planar convex bodies , 1983 .
[26] R. Gardner. Geometric Tomography: Parallel X-rays of planar convex bodies , 2006 .