Axiomatic theory of Sobolev spaces

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Harnack inequality and hyperbolicity for subelliptic p-Laplacians with applications to Picard type theorems (2001, background): “In particular properties 1, 2, 3 and 4 do not depend on the choice of U .F or the equivalence between 1, 3 and 4, see [Tr2, Proposition 1 and Theorem 3], and also [ GoT2 , Theorem 3.1].”
Fine Properties of Sets of Finite Perimeter in Doubling Metric Measure Spaces (2002, background): “Fine properties of sets of finite perimeter in doubling metric measure spaces Luigi Ambrosio Scuola Normale Superiore Piazza Cavalieri 7 56100 Pisa, Italy e-mail: luigi@ambrosio.sns.it May 2002”