Connected components of positive solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space

In this paper we study global bifurcation phenomena for the Dirichlet problem associated with the prescribed mean curvature equation in Minkowski space \begin{document}$\left\{ \begin{array}{l} -\text{div}\big(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\big) = λ f(x,u,\nabla u)\ \ \ \ \ \ & \text{in}\ Ω,\\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u = 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ & \text{on}\ \partial Ω.\\\end{array} \right.$\end{document} Here \begin{document} $Ω$ \end{document} is a bounded regular domain in \begin{document} $\mathbb{R}^N$ \end{document} , the function \begin{document} $f$ \end{document} satisfies the Caratheodory conditions, and \begin{document} $f$ \end{document} is either superlinear or sublinear in \begin{document} $u$ \end{document} at \begin{document} $0$ \end{document} . The proof of our main results are based upon bifurcation techniques.