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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 2, Pages 65–76
DOI: https://doi.org/10.4213/faa3860
(Mi faa3860)
 

Inequalities of Rellich type

W. D. Evansa, D. E. Edmundsb, R. T. Lewisc

a Cardiff University
b University of Sussex
c University of Alabama at Birmingham
References:
Abstract: Hardy inequalities have been important topics of research for a century, and in the past twenty years or so, there has been a deluge of important papers on various versions, including discrete and fractional forms and extensions to Rellich and higher-order inequalities. This paper is a brief survey of known fractional and nonfractional forms of the Rellich inequality together with some new results and remarks concerning the Rellich inequality, including the case of the $p$-Laplacian for $p \in (2,\infty)$.
Received: 29.11.2020
Revised: 15.02.2021
Accepted: 24.03.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 2, Pages 130–139
DOI: https://doi.org/10.1134/S0016266321020052
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: W. D. Evans, D. E. Edmunds, R. T. Lewis, “Inequalities of Rellich type”, Funktsional. Anal. i Prilozhen., 55:2 (2021), 65–76; Funct. Anal. Appl., 55:2 (2021), 130–139
Citation in format AMSBIB
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\by W.~D.~Evans, D.~E.~Edmunds, R.~T.~Lewis
\paper Inequalities of Rellich type
\jour Funktsional. Anal. i Prilozhen.
\yr 2021
\vol 55
\issue 2
\pages 65--76
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\crossref{https://doi.org/10.4213/faa3860}
\transl
\jour Funct. Anal. Appl.
\yr 2021
\vol 55
\issue 2
\pages 130--139
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