Calculus of Variations and Geometric Measure Theory

D. Di Donato

Intrinsic Lipschitz graphs in Carnot groups of step 2

created by didonato on 08 Mar 2019



Inserted: 8 mar 2019

Year: 2019

ArXiv: 1903.02968 PDF


We focus our attention on the notion of intrinsic Lipschitz graphs, inside a special class of metric spaces i.e. the Carnot groups. More precisely, we provide a characterization of locally intrinsic Lipschitz functions in Carnot groups of step 2 in terms of their intrinsic distributional gradients.