Submitted Paper
Inserted: 26 apr 2017
Last Updated: 10 may 2017
Pages: 13
Year: 2017
Abstract:
We prove that a nonlocal functional approximating the standard Dirichlet $p$-norm fails to decrease under two-point rearrangement. Furthermore, we get other properties related to this functional such as decay and compactness.
Keywords: Nonlocal functionals, characterization of Sobolev spaces
Download: