Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the Riesz potential operators among all domains of a given measure in Rd. In particular, the result is valid for the polyharmonic Newton potential operator, which is related to a nonlocal boundary value problem for the poly-Laplacian extending the one considered by M. Kac in the case of the Laplacian, so we obtain isoperimetric inequalities for its eigenvalues as well, namely, analogues of Rayleigh-Faber-Krahn and Hong-Krahn-Szegö inequalities.
Язык оригинала | английский |
---|---|
Страницы (с-по) | 224-239 |
Число страниц | 16 |
Журнал | Journal of Functional Analysis |
Том | 271 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 июл 2016 |
ID: 50650350