An Anzellotti type pairing for divergence-measure fields and a notion of weakly super-1-harmonic functions
Abstract
We study generalized products of divergence-measure fields and gradient measures of BV functions. These products depend on the choice of a representative of the 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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