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This article is cited in 8 scientific papers (total in 8 papers)
On the occasion of the 100th anniversary of G. M. Golusin's birth
On variational principles of conformal mappings
V. N. Dubinin, E. G. Prilepkina Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
Refinements and generalizations of the classical variational principles of conformal mappings are presented; mainly, they follow from potential theory and symmetrization. Part of the results can be viewed as properties of Robin functions and Robin capacities, and also as distortion theorems for univalent functions in finitely connected domains.
Received: 22.02.2006
Citation:
V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, Algebra i Analiz, 18:3 (2006), 39–62; St. Petersburg Math. J., 18:3 (2007), 373–389
Linking options:
https://www.mathnet.ru/eng/aa73 https://www.mathnet.ru/eng/aa/v18/i3/p39
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Abstract page: | 801 | Full-text PDF : | 271 | References: | 91 | First page: | 8 |
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