Asymptotics of solutions of nonlinear Beltrami equations

1Klishchuk, BA
1Salimov, RR
1Stefanchuk, MV
1Institute of Mathematics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2019, 2:17-22
https://doi.org/10.15407/dopovidi2019.02.017
Section: Mathematics
Language: Russian
Abstract: 

Regular homeomorphic solutions of the nonlinear Beltrami equation for the power and logarithmic orders of growth are investigated. Solutions showing the accuracy of the growth order in the found estimates are constructed.

Keywords: Beltrami equation, mappings of the Sobolev class, nonlinear Beltrami equation, regular homeomorphism
References: 

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