On Isoperimetric Inequalities of Riesz Potentials and Applications - Applied Mathematics

AM > Vol.4 No.7, July 2013

On Isoperimetric Inequalities of Riesz Potentials and Applications ()

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DOI: 10.4236/am.2013.47A001 4,294 Downloads 6,635 Views

Author(s)

Tynysbek Sh. Kalmenov, Ernazar Nysanov, Bolys Sabitbek

Affiliation(s)

Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan.

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.

KEYWORDS

Isoperimetric Inequalities; Eigenvalues of the Laplacian; Riesz Potentials

Share and Cite:

T. Kalmenov, E. Nysanov and B. Sabitbek, "On Isoperimetric Inequalities of Riesz Potentials and Applications," Applied Mathematics, Vol. 4 No. 7A, 2013, pp. 1-4. doi: 10.4236/am.2013.47A001.

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