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Bi-Sobolev mappings with differential matrices in Orlicz Zygmund classes |
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| Authors: | Flavia Giannetti |
| Institution: | Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, via Cintia, 80126, Napoli, NA, Italy |
| Abstract: | Bi-Sobolev mappings  have been defined as those homeomorphisms such that f and f−1 belong to  . We deduce regularity properties of the distortion of f from the regularity of the differential matrix Df−1 and conversely. |
| Keywords: | Bi-Sobolev mappings Orlicz classes Area formula Maps of finite distortion |
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