An Application of Gesztesy–Simon–Teschl Oscillation Theory to a Problem in Differential Geometry

✍ Scribed by Karl Michael Schmidt

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 104 KB
• Volume: 261
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7471

✦ Synopsis

The approach to oscillation theory developed by Gesztesy, Simon, and Teschl produces a sharp version for the oscillation theorem for singular Sturm-Liouville operators. In the present note, an example from the stability theory of complete minimal surfaces is given in which this refinement plays a decisive role.