Enviar artigo por via de e-mail Inequalities for the eigenvalues of the Riesz potential
- Autores: Kal’menov T.S.1, Suragan D.1
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Afiliações:
- Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
- Edição: Volume 102, Nº 5-6 (2017)
- Páginas: 770-775
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150320
- DOI: https://doi.org/10.1134/S0001434617110165
- ID: 150320
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Resumo
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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Sobre autores
T. Kal’menov
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Autor responsável pela correspondência
Email: kalmenov@math.kz
Cazaquistão, Almaty
D. Suragan
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Email: kalmenov@math.kz
Cazaquistão, Almaty
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