Weighted inequalities and spectral problems

It is shown that the conditions of the validity of the Hardy inequality coincide with the conditions on the spectrum of some (nonlinear) differential operators to be bounded from below and discrete. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 34L05, 47E05U. Key words and phrase...

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Bibliographic Details
Published inBanach journal of mathematical analysis Vol. 4; no. 1; pp. 116 - 121
Main Author Kufner, Alois
Format Journal Article
LanguageEnglish
Published Durham Springer 01.01.2010
Duke University Press, NC & IL
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Summary:It is shown that the conditions of the validity of the Hardy inequality coincide with the conditions on the spectrum of some (nonlinear) differential operators to be bounded from below and discrete. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 34L05, 47E05U. Key words and phrases. Hardy inequality, nonlinear Sturm-Liouville problem.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1735-8787
1735-8787
DOI:10.15352/bjma/1272374675