Extremal Problems and Quadratic Differentials

M. A. Lavrent'ev, “On the theory of conformal mappings,” Tr. Fiz.-Mat. Inst. Akad. Nauk SSSR, 5, 159–245 (1934).

J. A. Jenkins, Univalent Functions and Conformal Mapping, Springer, Berlin (1958).

G. P. Bakhtina, Variational Methods and Quadratic Differentials in Problems for Disjoint Domains [in Russian], Author's Abstract of the Candidate-Degree Thesis (Physics and Mathematics), Kiev (1975).

G. V. Kuz'mina, “Problem of extremal division of a Riemann sphere,” Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Ros. Akad. Nauk, 276, 253–275 (2001).

V. N. Dubinin, Method of Symmetrization in the Geometric Theory of Functions [in Russian], Doctoral-Degree Thesis (Physics and Mathematics), Vladivostok (1988).

V. N. Dubinin, “Method of symmetrization in the geometric theory of functions of a complex variable,” Usp. Mat. Nauk, 49, No.1 (295), 3–76 (1994).

L. V. Kovalev, “On three disjoint domains,” Dal'nevost. Mat. Zh., 1, No.1, 3–7 (2000).

E. G. Emel'yanov, “On the problem of the maximum of the product of powers of conformal radii of disjoint domains,” Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Ros. Akad. Nauk, 286, 103–114 (2002).

A. K. Bakhtin, “Extremal problems for non-overlapping domains with free poles on closed curves,” in: Abstracts of the International Workshop “Potential Theory and Free Boundary Flows,” Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2003), p. 4.

A. K. Bakhtin, “Extremal problems for disjoint domains with free poles on a circle,” in: Some Extremal Problems for Disjoint Domains with Free Poles [in Russian], Preprint No. 2003.6, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2003), pp. 1–45.

A. K. Bakhtin, “Extremal problems for disjoint domains with free poles on a circle,” Dopov. Nats. Akad. Nauk. Ukr., No. 8, 7–15 (2004).

A. K. Bakhtin, “Piecewise-separating transformation and extremal problems with free poles on rays,” Dopov. Nats. Akad. Nauk. Ukr., No. 12, 7–13 (2004).

A. K. Bakhtin and A. L. Targonskii, “Extremal problems for disjoint domains with free poles on rays,” Dopov. Nats. Akad. Nauk. Ukr., No. 7, 7–13 (2004).

A. K. Bakhtin and A. L. Targonskii, “Some extremal problems in the theory of disjoint domains with free poles on rays,” in: Some Extremal Problems for Disjoint Domains with Free Poles [in Russian], Preprint No. 2003.6, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2003), pp. 46–67.