D. Lučić - E. Pasqualetto - T. Rajala
Characterisation of upper gradients on the weighted Euclidean space and applications
preprint
Inserted: 24 jul 2020
Year: 2020
Abstract:
In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.