Email this article Inequalities for the eigenvalues of the Riesz potential
- Authors: Kal’menov T.S.1, Suragan D.1
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Affiliations:
- Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
- Issue: Vol 102, No 5-6 (2017)
- Pages: 770-775
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150320
- DOI: https://doi.org/10.1134/S0001434617110165
- ID: 150320
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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.
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About the authors
T. Sh. Kal’menov
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Author for correspondence.
Email: kalmenov@math.kz
Kazakhstan, Almaty
D. Suragan
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Email: kalmenov@math.kz
Kazakhstan, Almaty
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