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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
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
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
Linking options:
https://www.mathnet.ru/eng/faa3860https://doi.org/10.4213/faa3860 https://www.mathnet.ru/eng/faa/v55/i2/p65
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