An application of Gesztesy-Simon-Teschl oscillation theory to a problem in differential geometry

DOI10.1006/jmaa.2001.7471zbMath0997.53005OpenAlexW2082487566WikidataQ115395361 ScholiaQ115395361MaRDI QIDQ5946930

Karl Michael Schmidt

Publication date: 8 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7471

zbMATH Keywords

Morse indexoscillation theoremSturm-Liouville differential operator

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Principal Solutions Revisited ⋮ Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function

Cites Work

• Index, vision number and stability of complete minimal surfaces
• On complete minimal surfaces with finite Morse index in three manifolds
• Eigenvalue estimates with applications to minimal surfaces
• Spectral theory of ordinary differential operators
• An index characterization of the catenoid and index bounds for minimal surfaces in \(R^ 4\)
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• A New Characterization of the Friedrichs Extension of Semibounded Sturm-Liouville Operators
• Zeros of the Wronskian and Renormalized Oscillation Theory
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