In this paper, we are concerned with the global structure of radial positive solutions of boundary value problem$$\text{ div}\big(\phi_{ N}(\nabla v)\big)+\lambda f(|x|, v)=0 \text{ in} B(R), v=0 \text{ on} \partial B(R), $$where $\phi_{ N}(y)=\frac{ y}{ \sqrt{ 1-|y|^{ 2}}}, y\in \mathbb{ R}^{ N}$, $\lambda$ is a positive parameter, $B(R)=\{ x\in \mathbb{ R}^{ N} :|x|<R\}$, and $|\cdot|$ denote the Euclidean norm in $\mathbb{ R}^{ N}$. All results, depending on the behavior of nonlinear term $f$ near 0, are obtained by using global bifurcation techniques.
Categories: math.AP