English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We extend Nguyen's characterization of Sobolev spaces $W^{1,p}$ to thesetting of PI-metric measure spaces such that at a.e. point the tangent space(in the Gromov-Hausdorff sense) is unique and Euclidean with a fixed dimension.We also generalize [CLL14] to PI-metric measure spaces such that at a.e. pointthe tangent space is unique and equal to the Heisenberg group with a fixedhomogeneous dimension. The approach is easier and completely different from theone in [Ngu06, Ngu08].

Nguyen's approach to Sobolev spaces in metric measure spaces with unique tangents