On Isoperimetric Inequalities of Riesz Potentials and Applications

• 作者: Bolys Sabitbek Ernazar Nysanov Tynysbek Sh. Kalmenov
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: ISOPERIMETRIC INEQUALITIES EIGENVALUES of the LAPLACIAN RIESZ POTENTIALS
• 年，卷（期）: 2013,（7）
• 页码范围: 1-4
• 页数: 4页
• 分类号: O1

摘要

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.