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An elliptic boundary value problem depending nonlinearly upon the eigenvalue parameter

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Abstract

In this paper we establish some results concerning the spectral properties of an elliptic boundary value problem containing the floating singularity (u−λ)−1. Our results are arrived at through a study of the spectral properties of an associated λ-linear problem, and in this study we use some basic facts from the theories of holomorphic operator-valued functions and definitizable operators in Krein space.

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Faierman, M., Mennicken, R. An elliptic boundary value problem depending nonlinearly upon the eigenvalue parameter. Manuscripta Math 73, 319–333 (1991). https://doi.org/10.1007/BF02567644

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  • DOI: https://doi.org/10.1007/BF02567644

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