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Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 844–850
DOI: https://doi.org/10.4213/mzm10465 (Mi mzm10465) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Inequalities for the Eigenvalues of the Riesz Potential

T. Sh. Kal'menov, D. Suragan

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
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DOI: https://doi.org/10.4213/mzm10465
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.
Keywords: eigenvalue, spectral geometry, Riesz potential.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 4075/ГФ4
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (grant no. 4075/GF4).
Received: 16.01.2015
Revised: 06.02.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 770–775
DOI: https://doi.org/10.1134/S0001434617110165
Bibliographic databases:
Document Type: Article
UDC: 517.984.53
Language: Russian
Citation: T. Sh. Kal'menov, D. Suragan, “Inequalities for the Eigenvalues of the Riesz Potential”, Mat. Zametki, 102:6 (2017), 844–850; Math. Notes, 102:6 (2017), 770–775
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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