Generic properties of the Rabinowitz continuum
Analysis of PDEs
2023-06-09 v1
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.
Cite
@article{arxiv.2207.07952,
title = {Generic properties of the Rabinowitz continuum},
author = {Daniele Bartolucci and Yeyao Hu and Aleks Jevnikar and Wen Yang},
journal= {arXiv preprint arXiv:2207.07952},
year = {2023}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:2106.04331