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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
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.
Received: 16.01.2015 Revised: 06.02.2017
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
Linking options:
https://www.mathnet.ru/eng/mzm10465https://doi.org/10.4213/mzm10465 https://www.mathnet.ru/eng/mzm/v102/i6/p844
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Abstract page: | 401 | Full-text PDF : | 70 | References: | 70 | First page: | 30 |
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