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作者单位:Daniel Cibotaru (1) Jorge de Lira (1)
1. Universidade Federal do Ceará, Fortaleza, CE, Brazil
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Mathematics Algebraic Geometry Topological Groups and Lie Groups Geometry Number Theory Calculus of Variations and Optimal Control
出版者:Springer Berlin / Heidelberg
ISSN:1432-1785
文摘
We present the area and coarea formulas for Lipschitz maps, valid for general volume densities. We apply these formulas to derive an anisotropic tube formula for hypersurfaces in \({{\mathbb{R}}^n}\) and to give a short euclidean proof of the anisotropic Sobolev inequality. A discussion about the first variation of the anisotropic area is also included. Mathematics Subject Classification Primary 58C35 49Q15 Secondary 46T12