Variational problem of some quadratic functionals in complex analysis (Q1276384)
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scientific article; zbMATH DE number 1246348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational problem of some quadratic functionals in complex analysis |
scientific article; zbMATH DE number 1246348 |
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Variational problem of some quadratic functionals in complex analysis (English)
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8 October 2000
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For maps between marked closed Riemann surfaces a program of H. E. Rauch (see \textit{M. Gerstenhaber} and \textit{H. E. Rauch}, Proc. Natl. Acad. Sci. 40, 808-812, 991-994 (1954; Zbl 0056.07502) studied the existence of Teichmüller's extremal map by minimizing the energy functionals. The paper under review contributes to that program, by examining related quadratic functionals of maps.
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Dirichlet integral
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Teichmüller's extremal map
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