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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2021 Volume 55, Issue 2, Pages 65–76 (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

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 $p \in (2,\infty)$.

UDC: 517.98

Received: 29.11.2020
Revised: 15.02.2021
Accepted: 24.03.2021

DOI: 10.4213/faa3860


 English version:
Functional Analysis and Its Applications, 2021, 55:2, 130–139

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© Steklov Math. Inst. of RAS, 2024