Accepted Paper

Inserted: 16 jul 2022
Last Updated: 23 mar 2023

Journal: Adv. Nonlinear Stud.
Year: 2023

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.

Keywords: bifurcation analysis, generic properties, Rabinowitz continuum

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• BHJY-Gel-generic-revision.pdf