An improved Hardy-Sobolev inequality in W1,p and its application to Schrodinger operators

被引：32

作者：

Adimurthi

Esteban, MJ

机构：

[1] TIFR Ctr, Bangalore 560012, Karnataka, India

[2] Univ Paris 09, F-75775 Paris, France

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2005年 / 12卷 / 02期

关键词：

Hardy inequality; perturbed Schrodinger operators; eigenvalues;

D O I：

10.1007/s00030-005-0009-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove new Hardy-like inequalities with optimal potential singularities for functions in W-1,W-p(Omega), where Omega is either bounded or the whole space R-n and also some extensions to arbitrary Riemannian manifolds. We also study the spectrum of perturbed Schrodinger operators for perturbations which are just below the optimality threshold for the corresponding Hardy inequality.

引用

页码：243 / 263

页数：21

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