Coleman Principles and Krasnosel'skii Genus in Eigenfunction Problems

• Date: 2001
• Main Authors: Suvorov, S. G., Суворов, С. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4318
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a simple semilinear elliptic eigenfunction problem. Using it as an example, we demonstrate functional topological methods that give information on the critical numbers almost as detailed (in the qualitative sense) as in the case of separation of variables in an analogous linear problem.