Some remarks on rearrangement for nonlocal functionals

Marco Squassina; Hoai-Minh Nguyen

doi:10.1016/j.na.2017.06.007

Some remarks on rearrangement for nonlocal functionals

Marco Squassina, Hoai-Minh Nguyen

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	1-12
Number of pages	12
Journal	NONLINEAR ANALYSIS
DOIs	https://doi.org/10.1016/j.na.2017.06.007
Publication status	Published - 2017

Keywords

rearrangement

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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 = "Marco Squassina and Hoai-Minh Nguyen",

year = "2017",

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

language = "English",

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journal = "Nonlinear Analysis: Hybrid Systems",

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AU - Squassina, Marco

AU - Nguyen, Hoai-Minh

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

SP - 1

EP - 12

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

SN - 1751-570X

ER -

Some remarks on rearrangement for nonlocal functionals

Abstract

Keywords

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