Relative isoperimetric inequality

来源 :2016数学青年学者论坛(2016 Young Mathematician Forum) | 被引量 : 0次 | 上传用户：JK0803_chenjiehua

【摘要】

：

　　In this talk,I will introduce a relative version of the isoperimetric inequality.The analytic counterpart is the so-called weak Sobolev inequality.I will al

【作者】

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Zhenlei Zhang

【机构】

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SchoolofMathematicalSciences,CapitalNormalUniversity

【出处】

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2016数学青年学者论坛(2016 Young Mathematician Forum)

【发表日期】

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2016年12期

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　　In this talk,I will introduce a relative version of the isoperimetric inequality.The analytic counterpart is the so-called weak Sobolev inequality.I will also present an estimate to the corresponding isoperimetric constant for subdomains of a manifold,under the assumption of volume doubling property and a partial Poincare inequality.Some examples will be discussed.

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Relative isoperimetric inequality

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