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Solution of a Pólya-Szegö isoperimetric problem

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Abstract

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.

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Authors
  1. A. Yu. Solynin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 168, pp. 140–153, 1988.

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Solynin, A.Y. Solution of a Pólya-Szegö isoperimetric problem. J Math Sci 53, 311–320 (1991). https://doi.org/10.1007/BF01303655

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  • DOI: https://doi.org/10.1007/BF01303655

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