Weighted anisotropic Hardy and Rellich type inequalities for general vector fields

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

Research output: Contribution to journalArticle

Abstract

In this paper, we establish the weighted anisotropic Hardy and Rellich type inequalities with boundary terms for general (real-valued) vector fields. As consequences, we derive new as well as many of the fundamental Hardy and Rellich type inequalities which are known in different settings.

Original languageEnglish
Article number13
JournalNonlinear Differential Equations and Applications
Volume26
Issue number2
DOIs
Publication statusPublished - Apr 1 2019

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Keywords

  • Hardy inequality
  • Picone identity
  • Rellich inequality
  • Uncertainty principle
  • Vector fields

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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