ZERO SET OF SOBOLEV FUNCTIONS WITH NEGATIVE POWER OF INTEGRABILITY

来源 :数学年刊：B辑英文版 | 被引量 : 0次 | 上传用户：lanqie

【摘要】

：

Here the authors are interested in the zero set of Sobolev functions and functions of bounded variation with negative power of integrability. The main result is

【作者】

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JIANGHUIQIANG LINFANGHUA

【机构】

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CourantInstitute

【出处】

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数学年刊：B辑英文版

【发表日期】

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2004年1期

【关键词】

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零集 SOBOLEV函数可积分性椭圆方程 Singular elliptic equation Poincare inequality Thin fil

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Here the authors are interested in the zero set of Sobolev functions and functions of bounded variation with negative power of integrability. The main result is a general Hausdorff dimension estimate on the size of zero set. The research is motivated by t

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ZERO SET OF SOBOLEV FUNCTIONS WITH NEGATIVE POWER OF INTEGRABILITY

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