Smoothness of the Steiner symmetrization

2017 ◽  
Vol 146 (1) ◽  
pp. 345-357 ◽  
Author(s):  
Youjiang Lin

2011 ◽  
Vol 47 (4) ◽  
pp. 869-873 ◽  
Author(s):  
Gabriele Bianchi ◽  
Daniel A. Klain ◽  
Erwin Lutwak ◽  
Deane Yang ◽  
Gaoyong Zhang


2003 ◽  
Vol 58 (1) ◽  
pp. 21-25
Author(s):  
Fran�ois Gu�ritaud


2012 ◽  
Vol 48 (2) ◽  
pp. 340-353 ◽  
Author(s):  
Daniel A. Klain


2005 ◽  
Vol 30 (10) ◽  
pp. 1537-1553 ◽  
Author(s):  
V. Ferone ◽  
A. Mercaldo


2007 ◽  
Vol 14 (1-2) ◽  
pp. 219-231 ◽  
Author(s):  
Luca Esposito ◽  
Cristina Trombetti


Author(s):  
L. E. Fraenkel

SynopsisThis note presents a lower bound, in terms of the diameter ratio of the inner and outer conductors, for the electrostatic capacity of certain two-dimensional condensers. We use double Steiner symmetrization to prove that the minimizing condenser consists of a line segment placed symmetrically within a circle; the capacity of this condenser is known explicitly.



1996 ◽  
Vol 40 (3) ◽  
pp. 365-389 ◽  
Author(s):  
Pekka Koskela ◽  
Alexander Stanoyevitch


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