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Isoperimetric inequalities for convex cones

Authors: Pierre-Louis Lions and Filomena Pacella
Journal: Proc. Amer. Math. Soc. 109 (1990), 477-485
MSC: Primary 52A40; Secondary 35K20, 49F99
MathSciNet review: 1000160
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Abstract: We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.

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Keywords: Isoperimetric inequalities, convex cones, Brunn-Minkowski inequality
Article copyright: © Copyright 1990 American Mathematical Society

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