The mean curvature of a set of finite perimeter

Barozzi, Elisabetta; Gonzalez, Eduardo; Tamanini, Italo

doi:10.1090/S0002-9939-1987-0870791-8

The mean curvature of a set of finite perimeter

Authors: Elisabetta Barozzi, Eduardo Gonzalez and Italo Tamanini
Journal: Proc. Amer. Math. Soc. 99 (1987), 313-316
MSC: Primary 49F22; Secondary 49F20
DOI: https://doi.org/10.1090/S0002-9939-1987-0870791-8
MathSciNet review: 870791
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Abstract: It is shown that an arbitrary set of finite perimeter in ${{\mathbf{R}}^n}$ minimizes some prescribed mean curvature functional given by an ${L^1}$ function on ${{\mathbf{R}}^n}$ .

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