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A NOTE ON THE AREA AND COAREA FORMULAS

By Daniel Cibotaru, Jorge and De Lira

Abstract

ABSTRACT. We present the area and coarea formulas for Lipschitz maps between euclidean spaces and C1 maps between differentiable manifolds which are valid for general volume densities. As ap-plications we give a short, ”euclidean ” proof of the anisotropic Sobolev inequality and describe an anisotropic tube formula for hypersurfaces in Rn. 1

Year: 2016
OAI identifier: oai:CiteSeerX.psu:10.1.1.746.1087
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