Hardy and Rellich type inequalities on complete manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Xia, Changyu^1,2 

[1] Hubei Univ, Sch Math & Comp Sci, Wuhan 430062, Peoples R China

[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

关键词: Hardy and Rellich inequalities;    Complete manifolds;    Nonnegative Ricci curvature;   

DOI  :  10.1016/j.jmaa.2013.06.070

来源: Elsevier

【 摘 要 】

We prove some Hardy and Rellich type inequalities on complete noncompact Riemannian manifolds supporting a weight function which is not very far from the distance function in the Euclidean space. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free