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arXiv · 1701.02656

An Anzellotti type pairing for divergence-measure fields and a notion of weakly super-$1$-harmonic functions

Christoph Scheven·Thomas Schmidt
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Abstract

We study generalized products of divergence-measure fields and gradient measures of {\rm BV} functions. These products depend on the choice of a representative of the {\rm BV} function, and here we single out a specific choice which is suitable in order to define and investigate a notion of weak supersolutions for the $1$-Laplace operator.

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Christoph Scheven, Thomas Schmidt. 2017-01-10. An Anzellotti type pairing for divergence-measure fields and a notion of weakly super-$1$-harmonic functions. https://arxiv.org/abs/1701.02656

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