@article{He2022, 
author = {Zhiqian He and Man Xu and Yanzhong Zhao and Xiaobin Yao},
title = {Bifurcation curves of positive solutions for one-dimensional Minkowski curvature problem},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17001-17018},
keywords = {mean curvature equation, positive solutions, bifurcation curve, time mapping, existence},
url = {https://www.sciopen.com/article/10.3934/math.2022934},
doi = {10.3934/math.2022934},
abstract = {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.}
}