Quasiconformal extremals of the energy integral
Matematičeskie zametki, Tome 55 (1994) no. 6, pp. 50-58.

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A. A. Golubev; V. G. Sheretov. Quasiconformal extremals of the energy integral. Matematičeskie zametki, Tome 55 (1994) no. 6, pp. 50-58. http://geodesic.mathdoc.fr/item/MZM_1994_55_6_a3/

[1] Shibata K., “On the existence of a harmonic mappings”, Osaca Math. J., 15 (1963), 173–211 | MR | Zbl

[2] Sealey H. C., Some properties of harmonic mappings, Thesis, Warwick University, 1980

[3] Schoen R., Yau S. T., “On univalent harmonic mappings”, Invent. Math., 44 (1978), 265–278 | DOI | MR | Zbl

[4] Jost J., Schoen R., “On the existence of harmonic diffeomorphisms between surfaces”, Invent. Math., 66 (1982), 353–359 | DOI | MR | Zbl

[5] Sheretov V. G., “Funktsionaly tipa Dirikhle i garmonicheskie kvazikonformnye otobrazheniya”, DAN SSSR, 209:4 (1973), 808–810 | MR | Zbl

[6] Sheretov V. G., “Ob ekstremalnykh kvazikonformnykh otobrazheniyakh s zadannym granichnym sootvetstviem”, Sib. matem. zhurn., 19:4 (1978), 942–952 | MR | Zbl

[7] Krushkal S. L., Kvazikonformnye otobrazheniya i rimanovy poverkhnosti, Nauka, Novosibirsk, 1975

[8] Hamilton R. S., “Extremal quasiconformal mappings with prescribed boundary values”, Trans. Amer. Math. Soc., 138 (1969), 399–406 | DOI | MR | Zbl

[9] Reich E., Strebel K., “Extremal quasiconformal mappings with given boundary values”, Bull. Amer. Math. Soc., 79 (1973), 488–490 | DOI | MR | Zbl

[10] Sheretov V. G., “K teorii ekstremalnykh kvazikonformnykh otobrazhenii”, Matem. sbornik, 107:1 (1978), 146–158 | MR | Zbl

[11] Sansone Dzh., Obyknovennye differentsialnye uravneniya, IL, M., 1954

[12] Sheretov V. G., “Obobschennyi integral Dirikhle i slabo garmonicheskie otobrazheniya”, Dinamika sploshnoi sredy, 76 (1986), 157–165 | MR | Zbl

[13] Morrey C. B., Multiple integrals in the calculus of variations, Springer-Verlag, Berlin etc., 1966 | Zbl

[14] Sheretov V. G., “Kvazikonformnye ekstremali gladkikh funktsionalov i integrala energii na rimanovykh poverkhnostyakh”, Sib. matem. zhurn., 29:3 (1988), 163–174 | MR | Zbl

[15] Eells J., Lemaire L., Selected topics in harmonic maps, Regional conf. ser. in math., 50, 1983 | Zbl

[16] Sheretov V. G., “Kvazikonformnye otobrazheniya, ekstremalnye otnositelno svoikh granichnykh znachenii”, Sib. mat. zhurn., 27:4 (1986), 161–167 | MR