论文标题

非临界加权Hardy的不平等现象紧凑

Noncritical Weighted Hardy's Inequalities with compact perturbations

论文作者

Ando, Hiroshi, Horiuchi, Toshio

论文摘要

令$ω$为$ \ mathbb {r}^n $的有限域,其边界是$ \ mathbb {c}^2 $ compact歧管。在本文中,我们将研究一个有关加权强壮不平等的变化问题,而缺失了。作为权重,我们将距离函数的功率$δ(x)$带到了边界$ \partialΩ$。

Let $Ω$ be a bounded domain of $\mathbb{R}^N$ whose boundary is a $\mathbb{C}^2$ compact manifolds. In the present paper we shall study a variational problem relating the weighted Hardy inequalities with sharp missing terms. As weights we adopted powers of the distance function $δ(x)$ to the boundary $\partialΩ$.

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