Bifurcation curves of positive solutions for one-dimensional Minkowski curvature problem

Autor: Zhiqian He, Man Xu, Yanzhong Zhao, Xiaobin Yao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 9, Pp 17001-17018 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022934?viewType=HTML
Popis: In this paper, we study the shape of the bifurcation curves of positive solutions for the one-dimensional Minkowski-curvature problem. By developing some new time mapping techniques, we find that the bifurcation curve is ⊂-shaped/monotone increasing/S-like shaped on the (λ,||u||∞) plane when the nonlinearity satisfies different assumptions. Finally, two examples are given to illustrate our result.
Databáze: Directory of Open Access Journals