ZERO SET OF SOBOLEV FUNCTIONS WITH NEGATIVE POWER OF INTEGRABILITY
ZERO SET OF SOBOLEV FUNCTIONS WITH NEGATIVE POWER OF INTEGRABILITY
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DOI：
10.1142/s0252959904000068
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Huiqiang Jiang;F. Lin
中科院分区：
文献类型：
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作者：
Huiqiang Jiang;F. Lin
在这里，作者感兴趣的是索博列夫函数的零点集和具有负可积幂的有界变差函数。主要结果是零集大小的一般Hausdorff维数估计。本文的研究是基于薄膜受货车范德华力驱动的奇异椭圆方程模型。在得到一些基本的正则性结果后，对奇异集的大小进行了估计，该奇异集对应于薄膜模型中的薄膜破裂集。
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 the model on van der waal force driven thin film, which is a singular elliptic equation. After obtaining some basic regularity result, the authors get an estimate on the size of singular set; such set corresponds to the thin film rupture set in the thin film model.