Geodesic
On the inverse K i -inequality for one class of mappings
Filomat, Tome 37 (2023) no. 24, p. 8145

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DOI

We study mappings differentiable almost everywhere, possessing the N-Luzin property, the N −1-property on the spheres with respect to the (n − 1)-dimensional Hausdorff measure and such that the image of the set where its Jacobian equals to zero has a zero Lebesgue measure. It is proved that such mappings satisfy the lower bound for the Poletsky-type distortion in their definition domain.
DOI : 10.2298/FIL2324145D
Classification : 30C65, 32U20, 31B15, 31A15, 31B25
Keywords: Quasiconformal mappings, mappings with bounded and finite distortion, moduli, capacity 
Oleksandr Dovhopiatyi; Evgeny Sevost; yanov. On the inverse K i -inequality for one class of mappings. Filomat, Tome 37 (2023) no. 24, p. 8145 . doi: 10.2298/FIL2324145D
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     title = {On the inverse {K} i -inequality for one class of mappings},
     journal = {Filomat},
     pages = {8145 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324145D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324145D/}
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