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

Swiss Federal Institute of Technology Lausanne

Risultato della ricerca: Contributo in rivista › Articolo in rivista

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	English
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

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{ce71aa955033485294cbb6e0c0cac8e4,

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",

language = "English",

pages = "1--12",

journal = "Nonlinear Analysis: Hybrid Systems",

issn = "1751-570X",

publisher = "Oxford : Elsevier, 2007-",

}

TY - JOUR

T1 - Some remarks on rearrangement for nonlocal functionals

AU - Nguyen, Hoai-Minh

AU - Squassina, Marco

PY - 2017

Y1 - 2017

N2 - 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.

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

U2 - 10.1016/j.na.2017.06.007

DO - 10.1016/j.na.2017.06.007

M3 - Article

SN - 1751-570X

SP - 1

EP - 12

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

ER -

Some remarks on rearrangement for nonlocal functionals

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo