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Problems concerning the existence of local minimizers of a functional which represents in the chance number 3 the positions of balance about a fluid surrounding solid sphere are considered. The existence of these minimizers is demonstrated when coefficient relative to centripetal force is quite big.  相似文献   

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The problem of the research of the positions of balance about a liquid which surround a solid sphere is solved. In fact one can demonstrate the existence of local minimizers of a functional in a convenient class when the volumeV is little enough. This note concludes the analysis of the functional (1) and (2) begun and prosecuted in the notes [7], [8].  相似文献   

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