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arXiv · 2207.07952

Generic properties of the Rabinowitz continuum

Daniele Bartolucci·Yeyao Hu·Aleks Jevnikar·Wen Yang
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Abstract

In this paper we prove that generically, in the sense of domain variations, the unbounded Rabinowitz continuum of solutions to a nonlinear eigenvalue problem is a simple analytic curve. The global bifurcation diagram resembles the classic model case of the Gel'fand problem in dimension two.

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Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar, Wen Yang. 2022-07-16. Generic properties of the Rabinowitz continuum. https://doi.org/10.1515/ans-2022-0062

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