On Isoperimetric Inequalities of Riesz Potentials and Applications

¹ Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

² Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

³ 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.

KeywordsIsoperimetric InequalitiesEigenvalues of the LaplacianRiesz Potentials

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On Isoperimetric Inequalities of Riesz Potentials and Applications

Abstract

References (10)