论文标题
与边界重量功能距离的Hardy-Sobolev不平等
Hardy-Sobolev inequalities with distance to the boundary weight functions
论文作者
论文摘要
这是我们关于某些尖锐的耐强 - 贝伯夫不平等和相关椭圆方程的研究的第一部分。在这一部分中,我们将建立一些尖锐的加权强壮 - 贝贝尔不平等,其权重是与边界的距离函数。
This is the first part of our research on certain sharp Hardy-Sobolev inequalities and the related elliptic equations. In this part we shall establish some sharp weighted Hardy-Sobolev inequalities whose weights are distance functions to the boundary.