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- W3013877514 abstract "We study the mappings that satisfy moduli inequalities on Carnot groups. We prove that the homeomorphisms satisfying the moduli inequalities ($Q$-homeomor-phisms) with a locally integrable function $Q$ are Sobolev mappings. On this base in the frameworks of the weak inverse mapping theorem, we prove that, on the Carnot groups $mathbb G,$ the mappings inverse to Sobolev homeomorphisms of finite distortion of the class $W^1_{nu,loc}(Omega;Omega')$ belong to the Sobolev class $W^1_{1,loc}(Omega';Omega)$." @default.
- W3013877514 created "2020-04-03" @default.
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- W3013877514 date "2020-06-22" @default.
- W3013877514 modified "2023-10-16" @default.
- W3013877514 title "Sobolev mappings and moduli inequalities on Carnot groups" @default.
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- W3013877514 doi "https://doi.org/10.37069/1810-3200-2020-17-2-5" @default.
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