Inserted: 16 jul 2022
Last Updated: 23 mar 2023
Journal: Adv. Nonlinear Stud.
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