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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory by Francesco Maggi

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PART TWO

Sets of finite perimeter

Synopsis

The starting point of the theory of sets of finite perimeter is a generalization of the Gauss-Green theorem based on the notion of vector-valued Radon measure. Precisely, we say that a Lebesgue measurable set Eimagesn is a set of locally finite perimeter if there exists a imagesn-valued Radon measure imagesE on imagesn, called ...

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