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Published in Russian in Doklady Akademii Nauk, 2012, Vol. 444, No. 2, pp. 131–136.
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Bogachev, V.I., Kolesnikov, A.V. Sobolev regularity for the infinite-dimensional Monge-Ampère equation. Dokl. Math. 85, 331–335 (2012). https://doi.org/10.1134/S1064562412030088
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DOI: https://doi.org/10.1134/S1064562412030088