Stability of hypersurfaces with vanishing r -mean curvature in euclidean space
Stability of hypersurfaces with vanishing r -mean curvature in euclidean space
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DOI：
10.1007/978-3-642-25588-5_31
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发表时间：
2003-01
期刊：
影响因子：
--
通讯作者：
H. Alencar;M. Carmo;M. F. Elbert
中科院分区：
文献类型：
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作者：
H. Alencar;M. Carmo;M. F. Elbert
Hypersurfaces of euclidean spaces with vanishing r-mean curvature generalize minimal hypersurfaces (case r ¼ 1) and include the important case of scalar curvature šr ¼ 2Ž. They are critical points of variational problems and a notion of stability can be assigned to them. When their defining equations are elliptic, we obtain a criterion for stability of bounded domains of such hypersurfaces that generalizes a known theorem of Barbosa and do Carmo for stability of minimal surfaces.
