Journal of Soviet Mathematics

, Volume 53, Issue 3, pp 311–320

Solution of a Pólya-Szegö isoperimetric problem

  • Authors
  • A. Yu. Solynin

DOI: 10.1007/BF01303655

Cite this article as:
Solynin, A.Y. J Math Sci (1991) 53: 311. doi:10.1007/BF01303655


There is given the solution of the problem of the maximum inner radius in the family of n-gons Dn, n≥3, of fixed area, and of some related extremal problems. The proof is carried out by the method of the modules of families of curves.

Copyright information

© Plenum Publishing Corporation 1991