On univalent solutions of the biharmonic equation
| Autor: | AbdulHadi Z, Abu Muhanna Y, Khuri S |
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| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2005, Iss 5, p 642561 (2005) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| Popis: | We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that if is a biharmonic map in the form , , where is harmonic, then is starlike whenever is starlike. In addition, when , , where and are harmonic, we show that is locally univalent whenever is starlike and is orientation preserving. |
| Databáze: | Directory of Open Access Journals |
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