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Two problems in the theory of unique determination of domains

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Publication:1948669
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DOI10.1007/s10958-012-1143-2zbMath1286.30022OpenAlexW1967045513MaRDI QIDQ1948669

Dmitriy Slutskiy

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1143-2



Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)





Cites Work

  • Unique determination of domains by the condition of local isometry of boundaries in the relative metrics
  • Isometry of domains whose boundaries are isometric in the relative metrics
  • The coefficients of quasiconformality of domains in space
  • Unique determination of convex polyhedral domains by relative conformal moduli of boundary condensers
  • On unique determination of domains in Euclidean spaces




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