Abstract
The well-known Men’shov and Gehring-Lehto theorems on the differentiability of topological mappings of plane domains are generalized to the case of continuous open mappings of many-dimensional domains.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1587–1600, December, 1998.
This work was financially supported by the INTAS Foundation (grant No. 94-1474).
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Bondar, A.V. On differentiability of open mappings. Ukr Math J 50, 1811–1826 (1998). https://doi.org/10.1007/BF02514198
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DOI: https://doi.org/10.1007/BF02514198