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arXiv · 2504.07548

On the variety of solutions of 1-dimensional nonlinear eigenvalue problems

Catherine Bandle·Simon Stingelin·Alfred Wagner
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Abstract

Second order nonlinear eigenvalue problems are considered for which the spectrum is an interval. The boundary conditions are of Robin and Dirichlet type. The shape and the number of solutions are discussed by means of a phase plane analysis. A new type of asymmetric solutions are discovered. Some numerical illustrations are given.

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Catherine Bandle, Simon Stingelin, Alfred Wagner. 2025-04-10. On the variety of solutions of 1-dimensional nonlinear eigenvalue problems. https://arxiv.org/abs/2504.07548

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