On a variational problem associated with a Hardy type inequality involving a mean oscillation
On a variational problem associated with a Hardy type inequality involving a mean oscillation
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关于与涉及平均振荡的 Hardy 型不等式相关的变分问题
DOI：
10.1007/s00526-015-0927-x
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
and M. Ishiwata
中科院分区：
文献类型：
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作者：
N. Ioku;and M. Ishiwata
我们考虑一个涉及平均振荡的临界Hardy型不等式的最小化问题。首先引入了一个包含非局部项的膨胀不变临界Hardy型不等式，然后利用尺度论证分析了相关的欧拉-拉格朗日方程。证明了最小值的不存在性和存在性。
We consider a minimizing problem associated with a critical Hardy type inequality involving a mean oscillation. We first introduce a dilation-invariant critical Hardy type inequality which contains a nonlocal term and then analyze the associated Euler–Lagrange equation with the aid of the scaling argument. We prove the nonexistence of minimizers forand the existence for.