On Isoperimetric Inequalities of Riesz Potentials and Applications - Applied Mathematics

AM > Vol.4 No.7, July 2013

Applied Mathematics

Volume 4, Issue 7 (July 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

On Isoperimetric Inequalities of Riesz Potentials and Applications ()

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DOI: 10.4236/am.2013.47A001 4,373 Downloads 6,532 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:

Kalmenov, T. , Nysanov, E. and Sabitbek, B. (2013) On Isoperimetric Inequalities of Riesz Potentials and Applications. Applied Mathematics, 4, 1-4. doi: 10.4236/am.2013.47A001.

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