Smoothness of the Steiner symmetrization

Youjiang Lin

doi:10.1090/proc/13683

Smoothness of the Steiner symmetrization

Proceedings of the American Mathematical Society ◽

10.1090/proc/13683 ◽

2017 ◽

Vol 146 (1) ◽

pp. 345-357 ◽

Cited By ~ 2

Author(s):

Youjiang Lin

Keyword(s):

Steiner Symmetrization

A countable set of directions is sufficient for Steiner symmetrization

Advances in Applied Mathematics ◽

10.1016/j.aam.2011.04.005 ◽

2011 ◽

Vol 47 (4) ◽

pp. 869-873 ◽

Cited By ~ 7

Author(s):

Gabriele Bianchi ◽

Daniel A. Klain ◽

Erwin Lutwak ◽

Deane Yang ◽

Gaoyong Zhang

Keyword(s):

Steiner Symmetrization

A note on Steiner symmetrization of hyperbolic triangles

Elemente der Mathematik ◽

10.1007/s000170300002 ◽

2003 ◽

Vol 58 (1) ◽

pp. 21-25

Author(s):

Fran�ois Gu�ritaud

Keyword(s):

Steiner Symmetrization

Steiner symmetrization using a finite set of directions

Advances in Applied Mathematics ◽

10.1016/j.aam.2011.09.004 ◽

2012 ◽

Vol 48 (2) ◽

pp. 340-353 ◽

Cited By ~ 9

Author(s):

Daniel A. Klain

Keyword(s):

Steiner Symmetrization ◽

Finite Set

Weighted Dirichlet-type inequalities for Steiner symmetrization

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260050114 ◽

1999 ◽

Vol 8 (1) ◽

pp. 15-25 ◽

Cited By ~ 24

Author(s):

F. Brock

Keyword(s):

Steiner Symmetrization ◽

Dirichlet Type

Neumann Problems and Steiner Symmetrization

Communications in Partial Differential Equations ◽

10.1080/03605300500299596 ◽

2005 ◽

Vol 30 (10) ◽

pp. 1537-1553 ◽

Cited By ~ 9

Author(s):

V. Ferone ◽

A. Mercaldo

Keyword(s):

Steiner Symmetrization ◽

Neumann Problems

Steiner symmetrization: a weighted version of Pólya-Szegö principle

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-007-5025-0 ◽

2007 ◽

Vol 14 (1-2) ◽

pp. 219-231 ◽

Cited By ~ 2

Author(s):

Luca Esposito ◽

Cristina Trombetti

Keyword(s):

Steiner Symmetrization ◽

Weighted Version

A lower bound for electrostatic capacity in the plane

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500020114 ◽

1981 ◽

Vol 88 (3-4) ◽

pp. 267-273 ◽

Cited By ~ 13

Author(s):

L. E. Fraenkel

Keyword(s):

Lower Bound ◽

Line Segment ◽

Diameter Ratio ◽

Two Dimensional ◽

Steiner Symmetrization

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.

Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization

Publicacions Matemàtiques ◽

10.5565/publmat_53109_02 ◽

2009 ◽

Vol 53 ◽

pp. 47-71 ◽

Cited By ~ 6

Author(s):

F. Chiacchio

Keyword(s):

Eigenvalue Problems ◽

Steiner Symmetrization ◽

First Eigenfunction

Steiner Symmetrization and Periodic Solutions of Boundary Value Problems

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/504 ◽

1994 ◽

Vol 13 (3) ◽

pp. 417-423 ◽

Cited By ~ 1

Author(s):

Friedemann Brock

Keyword(s):

Boundary Value Problems ◽

Periodic Solutions ◽

Boundary Value ◽

Steiner Symmetrization

Poincaré inequalities and Steiner symmetrization

Illinois Journal of Mathematics ◽

10.1215/ijm/1255986012 ◽

1996 ◽

Vol 40 (3) ◽

pp. 365-389 ◽

Cited By ~ 2

Author(s):

Pekka Koskela ◽

Alexander Stanoyevitch

Keyword(s):

Steiner Symmetrization ◽

Poincaré Inequalities ◽

Poincare Inequalities