具有密度[公式：见原文]的Grushin空间[公式：见原文]中的加权定量等周不等式。
Weighted quantitative isoperimetric inequalities in the Grushin space [Formula: see text] with density [Formula: see text].
作者信息
He Guoqing, Zhao Peibiao
机构信息
School of Science, Nanjing University of Science and Technology, Nanjing, 210094 China.
School of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000 China.
出版信息
J Inequal Appl. 2017;2017(1):162. doi: 10.1186/s13660-017-1437-5. Epub 2017 Jul 12.
Abstract
In this paper, we prove weighted quantitative isoperimetric inequalities for the set [Formula: see text] in half-cylinders in the Grushin space [Formula: see text] with density [Formula: see text], [Formula: see text].
摘要
在本文中，我们证明了在具有密度(\rho(x,y,z)=e^{2t})，(t\in\mathbb{R})的格鲁辛空间(\mathbb{G})中的半圆柱体内，集合(\Omega)的加权定量等周不等式。
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