Some remarks on rearrangement for nonlocal functionals

Hoai-Minh Nguyen; Marco Squassina

doi:10.1016/j.na.2017.06.007

Some remarks on rearrangement for nonlocal functionals

Hoai-Minh Nguyen
, Marco Squassina^*

^*Autore corrispondente per questo lavoro

Swiss Federal Institute of Technology Lausanne

Risultato della ricerca: Contributo in rivista › Articolo

2 Citazioni (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.

Lingua originale	Inglese
pagine (da-a)	1-12
Numero di pagine	12
Rivista	NONLINEAR ANALYSIS
DOI	https://doi.org/10.1016/j.na.2017.06.007
Stato di pubblicazione	Pubblicato - 2017

Keywords

rearrangement

Accesso al documento

10.1016/j.na.2017.06.007

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title = "Some remarks on rearrangement for nonlocal functionals",

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 = "rearrangement, rearrangement",

author = "Hoai-Minh Nguyen and Marco Squassina",

year = "2017",

doi = "10.1016/j.na.2017.06.007",

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journal = "NONLINEAR ANALYSIS",

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AU - Squassina, Marco

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AB - 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.

KW - rearrangement

UR - http://hdl.handle.net/10807/116454

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DO - 10.1016/j.na.2017.06.007

M3 - Article

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SP - 1

EP - 12

JO - NONLINEAR ANALYSIS

JF - NONLINEAR ANALYSIS

ER -

Some remarks on rearrangement for nonlocal functionals

Abstract

Keywords

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