Abstract
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.
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Suvorov, S.G. Coleman Principles and Krasnosel'skii Genus in Eigenfunction Problems. Ukrainian Mathematical Journal 53, 1171–1184 (2001). https://doi.org/10.1023/A:1013385417209
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DOI: https://doi.org/10.1023/A:1013385417209