Inequalities for the eigenvalues of the Riesz potential
- Авторлар: Kal’menov T.S.1, Suragan D.1
-
Мекемелер:
- Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
- Шығарылым: Том 102, № 5-6 (2017)
- Беттер: 770-775
- Бөлім: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150320
- DOI: https://doi.org/10.1134/S0001434617110165
- ID: 150320
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
T. Kal’menov
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Хат алмасуға жауапты Автор.
Email: kalmenov@math.kz
Қазақстан, Almaty
D. Suragan
Institute of Mathematics and Mathematical Modeling of the Ministry of Education and Science
Email: kalmenov@math.kz
Қазақстан, Almaty
Қосымша файлдар
