Generic properties of the Rabinowitz continuum

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.

14 pages. arXiv admin note: substantial text overlap with arXiv:2106.04331