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Information × Registration Number 0223U001723, 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 02-02-2023 Organization Zhytomyr Ivan Franko State University popup.description2 The problems of the compactness of the solutions of the Beltrami equation with degeneracy are studied. A theorem on the compactness of the class of homeomorphic solutions of the Beltrami equation, which satisfy the conditions of hydrodynamic normalization at infinity, is proved. A theorem on the compactness of the class of open discrete solutions of the Dirichlet problem for the Beltrami equation in the Jordan domain is proved. The results are proved about the possibility of continuous continuation of the mappings of regions of Riemannian surfaces in terms of simple ends. The obtained logarithmic Gelder tree of mappings with the inverse Poletsky inequality on Riemannian manifolds. Unanimous continuity of families of reflections with finite averages on spheres is obtained. The existence theorems of the solutions of quasi-linear Beltrami equations with two characteristics are obtained. A model of local piezoelectric polarization in polar quantum wells based on III-nitrides is presented, which takes into account atomic disorder, the distribution of relaxed atomic positions, and the local stress tensor. A maximum was found for the products of generalized internal radii of polycylindrical regions and points of multidimensional space. A model of local piezoelectric polarization in polar quantum wells based on III-nitrides is presented, which takes into account atomic disorder, the distribution of relaxed atomic positions, and the local stress tensor. Product Description popup.authors Ilkevych Natalya S. Dovhopiaty Olexander P. Zinovchuk Andrey V. Kalenska Vitalina P. Targonskii Andrey L. popup.nrat_date 2023-02-02 Close