Weighted anisotropic Hardy and Rellich type inequalities for general vector fields
- Author
- Michael Ruzhansky (UGent) , Bolys Sabitbek and Durvudkhan Suragan
- Organization
- Project
- 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.
- Keywords
- Vector fields, Hardy inequality, Rellich inequality, Picone identity, Uncertainty principle, UNIFIED APPROACH, CARNOT
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8636211
- MLA
- Ruzhansky, Michael, et al. “Weighted Anisotropic Hardy and Rellich Type Inequalities for General Vector Fields.” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, vol. 26, no. 2, 2019, doi:10.1007/s00030-019-0559-5.
- APA
- Ruzhansky, M., Sabitbek, B., & Suragan, D. (2019). Weighted anisotropic Hardy and Rellich type inequalities for general vector fields. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 26(2). https://doi.org/10.1007/s00030-019-0559-5
- Chicago author-date
- Ruzhansky, Michael, Bolys Sabitbek, and Durvudkhan Suragan. 2019. “Weighted Anisotropic Hardy and Rellich Type Inequalities for General Vector Fields.” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 26 (2). https://doi.org/10.1007/s00030-019-0559-5.
- Chicago author-date (all authors)
- Ruzhansky, Michael, Bolys Sabitbek, and Durvudkhan Suragan. 2019. “Weighted Anisotropic Hardy and Rellich Type Inequalities for General Vector Fields.” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 26 (2). doi:10.1007/s00030-019-0559-5.
- Vancouver
- 1.Ruzhansky M, Sabitbek B, Suragan D. Weighted anisotropic Hardy and Rellich type inequalities for general vector fields. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. 2019;26(2).
- IEEE
- [1]M. Ruzhansky, B. Sabitbek, and D. Suragan, “Weighted anisotropic Hardy and Rellich type inequalities for general vector fields,” NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, vol. 26, no. 2, 2019.
@article{8636211,
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.}},
articleno = {{13}},
author = {{Ruzhansky, Michael and Sabitbek, Bolys and Suragan, Durvudkhan}},
issn = {{1021-9722}},
journal = {{NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS}},
keywords = {{Vector fields,Hardy inequality,Rellich inequality,Picone identity,Uncertainty principle,UNIFIED APPROACH,CARNOT}},
language = {{eng}},
number = {{2}},
pages = {{18}},
title = {{Weighted anisotropic Hardy and Rellich type inequalities for general vector fields}},
url = {{http://doi.org/10.1007/s00030-019-0559-5}},
volume = {{26}},
year = {{2019}},
}
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