Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces
Contact the author: Please use for correspondence this email.
Submission date: 06. Jul. 2007
Download full preprint: PDF (285 kB)
We prove that Lipschitz mappings are dense in the Newtonian-Sobolev class of mappings from spaces X supporting p-Poincaré inequalities into a finite Lipschitz polyhedron Y if and only if Y is [p]-connected i.e., , where [p] is the largest integer less than or equal to p.