Some remarks on rearrangement for nonlocal functionals
Nguyên, Hoà i-Minh, Marco Squassina · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · 2017
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.