Inequalities for the eigenvalues of the Riesz potential

T. Sh Kal’menov, D. Suragan

Research output: Contribution to journalArticle

Abstract

It is proved that, of all the domains with identical measure, it is the ball that maximizes the first eigenvalue of the Riesz potential. It is shown that the sum of the squares of all the eigenvalues is also maximized in the ball among all the domains with identical measure.

Original languageEnglish
Pages (from-to)770-775
Number of pages6
JournalMathematical Notes
Volume102
Issue number5-6
DOIs
Publication statusPublished - Nov 1 2017
Externally publishedYes

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Riesz Potential
Ball
Eigenvalue
First Eigenvalue
Maximise

Keywords

  • eigenvalue
  • Riesz potential
  • spectral geometry

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Inequalities for the eigenvalues of the Riesz potential. / Kal’menov, T. Sh; Suragan, D.

In: Mathematical Notes, Vol. 102, No. 5-6, 01.11.2017, p. 770-775.

Research output: Contribution to journalArticle

Kal’menov, T. Sh ; Suragan, D. / Inequalities for the eigenvalues of the Riesz potential. In: Mathematical Notes. 2017 ; Vol. 102, No. 5-6. pp. 770-775.
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