加权Hardy不等式与紧摄动的变分问题

Mathematical Journal of Ibaraki University Pub Date : 2020-01-01 DOI:10.5036/mjiu.52.15

Hiroshi Ando, T. Horiuchi

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引用次数: 5

摘要

设Ω是rn (N (cid:21) 1)的有界域，其边界@ Ω是一个c2紧流形。本文研究了[4]中建立的加权Hardy不等式的一个变分问题。作为权重，我们采用距离函数(cid:14) (x)到边界@ Ω的幂。研究

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Weighted Hardy's inequalities and the variational problem with compact perturbations

Let Ω be a bounded domain of R N ( N (cid:21) 1) whose boundary @ Ω is a C 2 compact manifolds. In the present paper we shall study a variational problem relating the weighted Hardy inequalities established in [4]. As weights we adopt powers of the distance function (cid:14) ( x ) to the boundary @ Ω. study a

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Mathematical Journal of Ibaraki University

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