Generic properties of the Rabinowitz unbounded continuum
| Autor: | Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar, Wen Yang |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Advanced Nonlinear Studies. 23 |
| ISSN: | 2169-0375 |
| Popis: | In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate or the Crandall-Rabinowitz transversality condition that is satisfied. We then deduce that, generically, the unbounded Rabinowitz continuum of solutions is a simple analytic curve. The global bifurcation diagram resembles the classic model case of the Gel’fand problem in two dimensions. |
| Databáze: | OpenAIRE |
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