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October 8, 2026
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The 23rd Annual Meeting of the Valdai Discussion Club was held from September 28 to October 1, 2026 under the theme ‘Responsibility for the Future: Limits of the Possible, or Limitless Possibilities?’ The forum brought together 120 experts from 40 countries, including representatives of China, the United States, India, Brazil, the United Kingdom, Germany, Egypt, Iran, and Japan.
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Capacity of rings and mappings generate embeddings of Sobolev spaces

Journal of Mathematical Analysis and Applications. 2024. Vol. 531. No. 1. Article 127826.
Menovshchikov A., Ukhlov A.

In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Lipschitz mappings in the sub-hyperbolic type capacitory metrics.

Research target: Mathematics
Language: English
DOI
Keywords: Sobolev spacesQuasiconformal mappings
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