Noncritical Weighted Hardy's Inequalities with compact perturbations

Hiroshi Ando; Toshio Horiuchi

Noncritical Weighted Hardy's Inequalities with compact perturbations

Analysis of PDEs 2020-08-13 v1

Authors: Hiroshi Ando , Toshio Horiuchi

Abstract

Let $\Omega$ 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 $\delta(x)$ to the boundary $\partial\Omega$ .

Keywords

weighted hardy inequalities variational problem bounded domain distance function compact perturbation

Cite

@article{arxiv.2008.05167,
  title  = {Noncritical Weighted Hardy's Inequalities with compact perturbations},
  author = {Hiroshi Ando and Toshio Horiuchi},
  journal= {arXiv preprint arXiv:2008.05167},
  year   = {2020}
}

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