Abstract
A bifurcation model for a nonlinear equation is introduced. Under the non-degeneracy condition (Definition 2.1), our bifurcation model describes the bifurcation of solutions to the nonlinear equation. We also show how these models work for Dirichlet problem on the square. We observe a perturbation of rectangles to a square creates new bifurcation, which is not a limit of the bifurcations on rectangles.
Acknowledgment
This work is partially supported by National Natural Science Foundation of China (No.11671070), and the Fundamental Research Funds in Heilongjiang Provincial Universities (No.145209132). This paper was prepared during the stay of the second author in Saitama University supported by JASSO scholarship (No.UTK1412401003004). The first author is supported by JSPS Kakenhi grant numbers JP15K04867 and JP19K03486.
Citation
Toshizumi FUKUI. Qiang LI. Donghe PEI. "Bifurcation Model for Nonlinear Equations." Hokkaido Math. J. 53 (2) 349 - 375, June 2024. https://doi.org/10.14492/hokmj/2022-674
Information
