Sharp lower bounds for Coulomb energy

Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)621-632
Number of pages12
JournalMathematical Research Letters
Volume23
Issue number3
DOIs
Publication statusPublished - 2016

Keywords

  • Coulomb energy
  • Fractional Sobolev spaces
  • Radial symmetry
  • Sharp emebeddings

ASJC Scopus subject areas

  • Mathematics(all)

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