Denega, I. V. Quadratic differentials and a separating transformation in extremal problems on non-overlapping domains. (Russian. English summary) Zbl 1249.30082 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 4, 15-19 (2012). Summary: The paper is devoted to extremal problems of geometric function theory associated with estimates of functionals defined on systems of non-overlapping domains and, in particular, to the well-known problem of V. N. Dubinin [Russ. Math. Surv. 49, No. 1, 1–79 (1994); translation from Usp. Mat. Nauk 49, No. 1 (295), 3–76 (1994; Zbl 0830.30014)] and a generalization of some results in this problem. Cited in 1 Document MSC: 30C75 Extremal problems for conformal and quasiconformal mappings, other methods 30C99 Geometric function theory Keywords:non-overlapping domains; extremal problem; quadratic differential Citations:Zbl 0830.30014 PDFBibTeX XMLCite \textit{I. V. Denega}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 4, 15--19 (2012; Zbl 1249.30082)