Generalized Leray-Schauder continuation theorem and nonlinear Krein-Rutman theorem
DOI:
https://doi.org/10.12775/TMNA.2026.010Keywords
Whyburn topological lemma, Leray-Schauder continuation theorem, nonlinear Krein-Rutman theoremAbstract
There two aims of this paper. We first improve and extend the famous Leray-Schauder continuation theorem by establishing a generalized Leray-Schauder continuation theorem. As a special case, we extend the famous nonlinear Krein-Rutman theorem. Then, we correct a minor flaw in \cite{Dai}. There was a mistake in writing $L_R$ as $L$ in one place in the proof of \cite[Theorem 1.1]{Dai}, which may rise confusion. For the convenience of readers, we hereby correct it here.References
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