Inequalities for the eigenvalues of the Riesz potential

T. Sh Kal’menov, D. Suragan

Research output: Contribution to journalArticlepeer-review


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
Issue number5-6
Publication statusPublished - Nov 1 2017
Externally publishedYes


  • eigenvalue
  • Riesz potential
  • spectral geometry

ASJC Scopus subject areas

  • General Mathematics


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