Inequalities for the eigenvalues of the Riesz potential
- 作者: Kal’menov T.S.1, Suragan D.1
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隶属关系:
- Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
- 期: 卷 102, 编号 5-6 (2017)
- 页面: 770-775
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150320
- DOI: https://doi.org/10.1134/S0001434617110165
- ID: 150320
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详细
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.
作者简介
T. Kal’menov
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
编辑信件的主要联系方式.
Email: kalmenov@math.kz
哈萨克斯坦, Almaty
D. Suragan
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Email: kalmenov@math.kz
哈萨克斯坦, Almaty
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