TITLE:
On Isoperimetric Inequalities of Riesz Potentials and Applications
AUTHORS:
Tynysbek Sh. Kalmenov, Ernazar Nysanov, Bolys Sabitbek
KEYWORDS:
Isoperimetric Inequalities; Eigenvalues of the Laplacian; Riesz Potentials
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.7A,
July
4,
2013
ABSTRACT: In this article, we prove certain isoperimetric inequalities for eigenvalues of Riesz potentials and show some applications of the results to a non-local boundary value problem of the Laplace operator.