Discreteness of the spectrum of second-order differential operators and associated embedding theorems

DOI10.1006/jdeq.2001.4152zbMath1029.34070OpenAlexW2123486524MaRDI QIDQ701088

Branko Ćurgus, Thomas T. Read

Publication date: 16 October 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4152

zbMATH Keywords

compact embeddingSturm-Liouville operatordiscrete spectrum

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05)

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Cites Work

• Factorization and discrete spectra for second-order differential expressions
• Discreteness conditions for the spectrum of ordinary differential operators
• Differentiation of integrals in \(\mathbb{R}^n\)
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• Molchanov's Discrete Spectra Criterion for a Weighted Operator
• Necessary and Sufficient Conditions for the Discreteness of the Spectrum of Certain Singular Differential Operators
• Hardy Inequalities with Mixed Norms
• Criteria for discrete spectra
• A general form of the covering principle and relative differentiation of additive functions
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