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Information × Registration Number 0224U000526, 0122U000821 , R & D reports Title The modern problems of the geometric theory of functions and mappings popup.stage_title Head Sevostianov Yevhen O., Доктор фізико-математичних наук Registration Date 09-01-2024 Organization Zhytomyr Ivan Franko State University popup.description2  The following results have been obtained in the course of research on the topic of the scientific work: unanimous continuity of families of mappings with Polecki's inequality, the major of which satisfies integral constraints, was obtained; compactness theorems for solutions of the Dirichlet problem for the Beltrami equation were proved; extreme problems for the powers of the inner radii of regions in a circle were solved; the recombination rates in nanosystems are calculated; mappings of regions of quasi-extreme length, regions with locally quasi-conformal boundaries, and regular (in the sense of simple ends) regions to regions with locally quasi-conformal boundaries, regular regions, or regions locally hedge-tree equivalent to a hemisphere on their boundary are considered. For such mappings, we obtain the Hölder continuity in the neighbourhood of the boundary points. Product Description popup.authors Ilkevych Natalya Androschuk Maria Bondar Sergiy Dovhopiaty Olexandr Zinovchuk Andrey Kalenska Vitalina Targonskyi Andrey popup.nrat_date 2024-01-09 Close