Asymptotics of solutions of nonlinear Beltrami equations

Authors

  • B.A. Klishchuk Institute of Mathematics of the NAS of Ukraine, Kiev
  • R.R. Salimov Institute of Mathematics of the NAS of Ukraine, Kiev
  • M.V. Stefanchuk Institute of Mathematics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2019.02.017

Keywords:

Beltrami equation, mappings of the Sobolev class, nonlinear Beltrami equation, regular homeomorphism

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.

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References

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Published

15.04.2024

How to Cite

Klishchuk, B., Salimov, R., & Stefanchuk, M. (2024). Asymptotics of solutions of nonlinear Beltrami equations . Reports of the National Academy of Sciences of Ukraine, (2), 17–22. https://doi.org/10.15407/dopovidi2019.02.017