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Article detail · 2009 · article

Improved Hardy and Rellich inequalities on Riemannian manifolds

YÖKSİS OpenAlex Open access · hybrid
Year2009
Citations103OpenAlex
Percentile%75.1
FWCI1.21.00 = world average
Scopus (SJR)Q1
WoS (JCR)Q1

Data source split

  • YÖKSİSYÖKSİS article record
  • YÖKSİS venueTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Catalog match (ISSN)Transactions of the American Mathematical Society
  • OpenAlexOpenAlex enrichment (abstract, citations, topics)

Abstract

OpenAlex English

In this paper we establish improved Hardy and Rellich type inequalities on a Riemannian manifold $M$. Furthermore, we also obtain sharp constants for improved Hardy and Rellich type inequalities on the hyperbolic space $\mathbb {H}^n$.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

103citationsOpenAlex · cited_by_count (cache / database)

7 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. 2013 Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifoldsCitations 69 · OpenAlex
  2. 2013 Hardy Poincare Rellich and uncertainty principle inequalities on Riemannian manifoldsCitations 67 · OpenAlex
  3. 2016 Weighted Hardy and Rellich type inequalities on Riemannian manifoldsCitations 9 · OpenAlex
  4. 2016 Weighted Hardy and Rellich type inequalities on Riemannian manifoldsCitations 9 · OpenAlex
  5. 2007 Hardy and Rellich type inequalities with remainders for Baouendi-Grushin vector fieldsCitations 9 · OpenAlex
  6. 2021 Nonexistence results for parabolic equations involving the $${\varvec{p}}$$-Laplacian and Hardy-Leray-type inequalities on Riemannian manifoldsCitations 1 · OpenAlex
  7. 2021 Nonexistence results for parabolic equations involving the $${\\varvec{p}}$$-Laplacian and Hardy\u2013Leray-type inequalities on Riemannian manifoldsCitations 1 · OpenAlex

Authors

2
  1. KÖMBE İSMAİL 1
  2. İSMAİL KÖMBE FENERBAHÇE ÜNİVERSİTESİ 2