Inequalities for the eigenvalues of the Riesz potential


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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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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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