## Some remarks on rearrangement for nonlocal functionals

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.

Published in:
Nonlinear Analysis-Theory Methods & Applications, 162, 1-12
Year:
2017
Keywords:
Laboratories: