Some remarks on rearrangement for nonlocal functionals

Marco Squassina, Hoai-Minh Nguyen

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalNONLINEAR ANALYSIS
DOIs
Publication statusPublished - 2017

Keywords

  • rearrangement

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