We study the classes of regular solutions of degenerate Beltrami equations with constraints of the integral type imposed on a complex coefficient, prove the theorem on closure, and establish a criterion of compactness for these classes.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 12, pp. 1657–1666, December, 2013.
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Lomako, T.V. Theorem on Closure and the Criterion of Compactness for the Classes of Solutions of the Beltrami Equations. Ukr Math J 65, 1834–1844 (2014). https://doi.org/10.1007/s11253-014-0901-3
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DOI: https://doi.org/10.1007/s11253-014-0901-3