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Some conditions for the existence of the total differential

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Abstract

We give conditions for the almost everywhere existence of the total differential of the functions of the weighted classes ACL μp in a domain. The proofs rest on the technique of the weighted modulus of a family of curves.

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Authors and Affiliations

  1. Volgograd State University, Volgograd, Russia

    V. M. Miklyukov

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  1. V. M. Miklyukov
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Correspondence to V. M. Miklyukov.

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Original Russian Text Copyright © 2010 Miklyukov V. M.

Volgograd. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 4, pp. 805–814, July–August, 2010.

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Miklyukov, V.M. Some conditions for the existence of the total differential. Sib Math J 51, 639–647 (2010). https://doi.org/10.1007/s11202-010-0065-9

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  • DOI: https://doi.org/10.1007/s11202-010-0065-9

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