Weighted Hardy and Rellich type inequalities on Riemannian manifolds

KÖMBE İ., YENER A.

Mathematische Nachrichten, vol.289, no.8-9, pp.994-1004, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 289 Issue: 8-9
  • Publication Date: 2016
  • Doi Number: 10.1002/mana.201500237
  • Journal Name: Mathematische Nachrichten
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.994-1004
  • Keywords: Riemannian manifolds, Hardy inequality, Hardy-Poincare inequality, Rellich inequality
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this paper we present new results on two-weight Hardy, Hardy-Poincaré and Rellich type inequalities with remainder terms on a complete noncompact Riemannian Manifold M. The method we use is flexible enough to obtain more weighted Hardy type inequalities. Our results improve and include many previously known results as special cases.