Sharp lower bounds for Coulomb energy

Jacopo Bellazzini; Marco Ghimenti; Tohru Ozawa

doi:10.4310/MRL.2016.v23.n3.a2

Sharp lower bounds for Coulomb energy

Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We prove L^p lower bounds for Coulomb energy for radially symmetric functions in ?Ḣ^s(ℝ³) with 1/2 < s < 3/2. In case 1/2 < s ≤ 1 we show that the lower bounds are sharp.

Original language	English
Pages (from-to)	621-632
Number of pages	12
Journal	Mathematical Research Letters
Volume	23
Issue number	3
DOIs	https://doi.org/10.4310/MRL.2016.v23.n3.a2
Publication status	Published - 2016

Keywords

Coulomb energy
Fractional Sobolev spaces
Radial symmetry
Sharp emebeddings

ASJC Scopus subject areas

Mathematics(all)

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10.4310/MRL.2016.v23.n3.a2

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title = "Sharp lower bounds for Coulomb energy",

abstract = "We prove Lp lower bounds for Coulomb energy for radially symmetric functions in ?Ḣs(ℝ3) with 1/2 < s < 3/2. In case 1/2 < s ≤ 1 we show that the lower bounds are sharp.",

keywords = "Coulomb energy, Fractional Sobolev spaces, Radial symmetry, Sharp emebeddings",

author = "Jacopo Bellazzini and Marco Ghimenti and Tohru Ozawa",

year = "2016",

doi = "10.4310/MRL.2016.v23.n3.a2",

language = "English",

volume = "23",

pages = "621--632",

journal = "Mathematical Research Letters",

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publisher = "International Press of Boston, Inc.",

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T1 - Sharp lower bounds for Coulomb energy

AU - Bellazzini, Jacopo

AU - Ghimenti, Marco

AU - Ozawa, Tohru

PY - 2016

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N2 - We prove Lp lower bounds for Coulomb energy for radially symmetric functions in ?Ḣs(ℝ3) with 1/2 < s < 3/2. In case 1/2 < s ≤ 1 we show that the lower bounds are sharp.

AB - We prove Lp lower bounds for Coulomb energy for radially symmetric functions in ?Ḣs(ℝ3) with 1/2 < s < 3/2. In case 1/2 < s ≤ 1 we show that the lower bounds are sharp.

KW - Coulomb energy

KW - Fractional Sobolev spaces

KW - Radial symmetry

KW - Sharp emebeddings

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DO - 10.4310/MRL.2016.v23.n3.a2

M3 - Article

AN - SCOPUS:84978924694

SN - 1073-2780

VL - 23

SP - 621

EP - 632

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 3

ER -

Sharp lower bounds for Coulomb energy

Abstract

Keywords

ASJC Scopus subject areas

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