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In this paper we discuss bounds for the total curvature of nonparametric minimal surfaces by using the properties of planar harmonic mappings.
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참고문헌 (9)
참고문헌 신청
D. Bshouty / 2003 / On the Gauss map of minimal graphs / Complex Var. Theory Appl 48 (4) : 339 ~ 346
E. Heinz / 1952 / ¨Uber die Losungen der Minimalflachengleichung, Nachr. Akad. Wiss. G¨ttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt : 51 ~ 56
E. Reich / 1954 / An inequality for subordinate analytic functions / Pacific J. Math 4 (2) : 259 ~ 274
F. Colonna / 1987 / The Bloch constant of bounded analytic functions / J. London Math. Soc 36 (1) : 95 ~ 101
G. M. Goluzin / 1969 / Geometric Theory of Functions of a Complex Variable, GITTL, Moscow, 1952 / Transl. Math. Monographs 26
E. Heinz / 1952 / ¨Uber die Losungen der Minimalflachengleichung, Nachr. Akad. Wiss. G¨ttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt : 51 ~ 56
E. Reich / 1954 / An inequality for subordinate analytic functions / Pacific J. Math 4 (2) : 259 ~ 274
F. Colonna / 1987 / The Bloch constant of bounded analytic functions / J. London Math. Soc 36 (1) : 95 ~ 101
G. M. Goluzin / 1969 / Geometric Theory of Functions of a Complex Variable, GITTL, Moscow, 1952 / Transl. Math. Monographs 26
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