| Autor: |
Min-Shu Hwang, Shao-Yuan Huang |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 41, Pp 1-29 (2021) |
| ISSN: |
1417-3875 |
| Popis: |
In this paper, we study the shape of bifurcation curve $S_{L}$ of positive solutions for the Minkowski-curvature problem \begin{equation*} \begin{cases} -\left( \dfrac{u^{\prime }(x)}{\sqrt{1-\left( {u^{\prime }(x)}\right) ^{2}}} \right) ^{\prime }=\lambda \left( -\varepsilon u^{3}+u^{2}+u+1\right) ,& -L0$ are bifurcation parameters and $L>0$ is an evolution parameter. We prove that there exists $\varepsilon _{0}>0$ such that the bifurcation curve $S_{L}$ is monotone increasing for all $L>0$ if $ \varepsilon \geq \varepsilon _{0}$, and the bifurcation curve $S_{L}$ is from monotone increasing to S-shaped for varying $L>0$ if $0 |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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